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Finding the Fourth Proportional to 16,049,101.20, 24,073,651.80 and 9,656,062.80

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Solution

The fourth proportional to 16,049,101.20, 24,073,651.80 and 9,656,062.80 is: 14,484,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049,101.20 : 24,073,651.80 = 9,656,062.80 : x
  2. Step 2: Convert to fraction form
    16,049,101.20/24,073,651.80 = 9,656,062.80/x
  3. Step 3: Cross multiply
    16,049,101.20x = 24,073,651.80 × 9,656,062.80
  4. Step 4: Simplify right side
    16,049,101.20x = 232,456,693,606,133.06
  5. Step 5: Solve for x
    x = 232,456,693,606,133.06/16,049,101.20
  6. Step 6: Final answer
    x = 14,484,094.20

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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.