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Finding the Fourth Proportional to 10,778,728.80, 16,144,473.60 and 9,582,002.40

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Solution

The fourth proportional to 10,778,728.80, 16,144,473.60 and 9,582,002.40 is: 14,352,006.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778,728.80 : 16,144,473.60 = 9,582,002.40 : x
  2. Step 2: Convert to fraction form
    10,778,728.80/16,144,473.60 = 9,582,002.40/x
  3. Step 3: Cross multiply
    10,778,728.80x = 16,144,473.60 × 9,582,002.40
  4. Step 4: Simplify right side
    10,778,728.80x = 154,696,384,781,936.66
  5. Step 5: Solve for x
    x = 154,696,384,781,936.66/10,778,728.80
  6. Step 6: Final answer
    x = 14,352,006.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.