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Finding the Fourth Proportional to 24,428.14, 36,617.52 and 9,631.30

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Solution

The fourth proportional to 24,428.14, 36,617.52 and 9,631.30 is: 14,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,428.14 : 36,617.52 = 9,631.30 : x
  2. Step 2: Convert to fraction form
    24,428.14/36,617.52 = 9,631.30/x
  3. Step 3: Cross multiply
    24,428.14x = 36,617.52 × 9,631.30
  4. Step 4: Simplify right side
    24,428.14x = 352,674,320.38
  5. Step 5: Solve for x
    x = 352,674,320.38/24,428.14
  6. Step 6: Final answer
    x = 14,437.22

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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.