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Finding the Fourth Proportional to 16,202.40, 24,275.95 and 11,499.13

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Solution

The fourth proportional to 16,202.40, 24,275.95 and 11,499.13 is: 17,229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.40 : 24,275.95 = 11,499.13 : x
  2. Step 2: Convert to fraction form
    16,202.40/24,275.95 = 11,499.13/x
  3. Step 3: Cross multiply
    16,202.40x = 24,275.95 × 11,499.13
  4. Step 4: Simplify right side
    16,202.40x = 279,152,306.52
  5. Step 5: Solve for x
    x = 279,152,306.52/16,202.40
  6. Step 6: Final answer
    x = 17,229.08

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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.