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Finding the Fourth Proportional to 16,589.70, 22,894.11 and 9,516.42

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Solution

The fourth proportional to 16,589.70, 22,894.11 and 9,516.42 is: 13,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.70 : 22,894.11 = 9,516.42 : x
  2. Step 2: Convert to fraction form
    16,589.70/22,894.11 = 9,516.42/x
  3. Step 3: Cross multiply
    16,589.70x = 22,894.11 × 9,516.42
  4. Step 4: Simplify right side
    16,589.70x = 217,869,966.29
  5. Step 5: Solve for x
    x = 217,869,966.29/16,589.70
  6. Step 6: Final answer
    x = 13,132.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.