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Finding the Fourth Proportional to 16,562.74, 22,855.89 and 9,489.82

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Solution

The fourth proportional to 16,562.74, 22,855.89 and 9,489.82 is: 13,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.74 : 22,855.89 = 9,489.82 : x
  2. Step 2: Convert to fraction form
    16,562.74/22,855.89 = 9,489.82/x
  3. Step 3: Cross multiply
    16,562.74x = 22,855.89 × 9,489.82
  4. Step 4: Simplify right side
    16,562.74x = 216,898,282.04
  5. Step 5: Solve for x
    x = 216,898,282.04/16,562.74
  6. Step 6: Final answer
    x = 13,095.56

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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.