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Finding the Fourth Proportional to 24,460.80, 36,680.40 and 9,664.80

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Solution

The fourth proportional to 24,460.80, 36,680.40 and 9,664.80 is: 14,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,460.80 : 36,680.40 = 9,664.80 : x
  2. Step 2: Convert to fraction form
    24,460.80/36,680.40 = 9,664.80/x
  3. Step 3: Cross multiply
    24,460.80x = 36,680.40 × 9,664.80
  4. Step 4: Simplify right side
    24,460.80x = 354,508,729.92
  5. Step 5: Solve for x
    x = 354,508,729.92/24,460.80
  6. Step 6: Final answer
    x = 14,492.93

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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.