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Finding the Fourth Proportional to 16,402.56, 24,587.38 and 8,500.65

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Solution

The fourth proportional to 16,402.56, 24,587.38 and 8,500.65 is: 12,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.56 : 24,587.38 = 8,500.65 : x
  2. Step 2: Convert to fraction form
    16,402.56/24,587.38 = 8,500.65/x
  3. Step 3: Cross multiply
    16,402.56x = 24,587.38 × 8,500.65
  4. Step 4: Simplify right side
    16,402.56x = 209,008,711.80
  5. Step 5: Solve for x
    x = 209,008,711.80/16,402.56
  6. Step 6: Final answer
    x = 12,742.44

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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.