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Finding the Fourth Proportional to 16,427.72, 24,645.90 and 7,658.12

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Solution

The fourth proportional to 16,427.72, 24,645.90 and 7,658.12 is: 11,489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.72 : 24,645.90 = 7,658.12 : x
  2. Step 2: Convert to fraction form
    16,427.72/24,645.90 = 7,658.12/x
  3. Step 3: Cross multiply
    16,427.72x = 24,645.90 × 7,658.12
  4. Step 4: Simplify right side
    16,427.72x = 188,741,259.71
  5. Step 5: Solve for x
    x = 188,741,259.71/16,427.72
  6. Step 6: Final answer
    x = 11,489.19

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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.