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Finding the Fourth Proportional to 16,154.68, 24,233.84 and 7,387.24

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Solution

The fourth proportional to 16,154.68, 24,233.84 and 7,387.24 is: 11,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.68 : 24,233.84 = 7,387.24 : x
  2. Step 2: Convert to fraction form
    16,154.68/24,233.84 = 7,387.24/x
  3. Step 3: Cross multiply
    16,154.68x = 24,233.84 × 7,387.24
  4. Step 4: Simplify right side
    16,154.68x = 179,021,192.20
  5. Step 5: Solve for x
    x = 179,021,192.20/16,154.68
  6. Step 6: Final answer
    x = 11,081.69

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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.