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Finding the Fourth Proportional to 16,585.96, 22,889.10 and 9,513.76

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Solution

The fourth proportional to 16,585.96, 22,889.10 and 9,513.76 is: 13,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.96 : 22,889.10 = 9,513.76 : x
  2. Step 2: Convert to fraction form
    16,585.96/22,889.10 = 9,513.76/x
  3. Step 3: Cross multiply
    16,585.96x = 22,889.10 × 9,513.76
  4. Step 4: Simplify right side
    16,585.96x = 217,761,404.02
  5. Step 5: Solve for x
    x = 217,761,404.02/16,585.96
  6. Step 6: Final answer
    x = 13,129.26

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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.