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Finding the Fourth Proportional to 16,705.97, 25,061.85 and 5,613.74

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Solution

The fourth proportional to 16,705.97, 25,061.85 and 5,613.74 is: 8,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.97 : 25,061.85 = 5,613.74 : x
  2. Step 2: Convert to fraction form
    16,705.97/25,061.85 = 5,613.74/x
  3. Step 3: Cross multiply
    16,705.97x = 25,061.85 × 5,613.74
  4. Step 4: Simplify right side
    16,705.97x = 140,690,709.82
  5. Step 5: Solve for x
    x = 140,690,709.82/16,705.97
  6. Step 6: Final answer
    x = 8,421.58

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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.