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Finding the Fourth Proportional to 22,989.99, 31,732.25 and 13,564.83

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Solution

The fourth proportional to 22,989.99, 31,732.25 and 13,564.83 is: 18,723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,989.99 : 31,732.25 = 13,564.83 : x
  2. Step 2: Convert to fraction form
    22,989.99/31,732.25 = 13,564.83/x
  3. Step 3: Cross multiply
    22,989.99x = 31,732.25 × 13,564.83
  4. Step 4: Simplify right side
    22,989.99x = 430,442,508.94
  5. Step 5: Solve for x
    x = 430,442,508.94/22,989.99
  6. Step 6: Final answer
    x = 18,723.04

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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.