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Finding the Fourth Proportional to 16,502.68, 24,741.26 and 5,402.44

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Solution

The fourth proportional to 16,502.68, 24,741.26 and 5,402.44 is: 8,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.68 : 24,741.26 = 5,402.44 : x
  2. Step 2: Convert to fraction form
    16,502.68/24,741.26 = 5,402.44/x
  3. Step 3: Cross multiply
    16,502.68x = 24,741.26 × 5,402.44
  4. Step 4: Simplify right side
    16,502.68x = 133,663,083.81
  5. Step 5: Solve for x
    x = 133,663,083.81/16,502.68
  6. Step 6: Final answer
    x = 8,099.48

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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.