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Finding the Fourth Proportional to 16,176.49, 24,264.73 and 9,246.13

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Solution

The fourth proportional to 16,176.49, 24,264.73 and 9,246.13 is: 13,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.49 : 24,264.73 = 9,246.13 : x
  2. Step 2: Convert to fraction form
    16,176.49/24,264.73 = 9,246.13/x
  3. Step 3: Cross multiply
    16,176.49x = 24,264.73 × 9,246.13
  4. Step 4: Simplify right side
    16,176.49x = 224,354,847.99
  5. Step 5: Solve for x
    x = 224,354,847.99/16,176.49
  6. Step 6: Final answer
    x = 13,869.19

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