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Finding the Fourth Proportional to 22,732.25, 31,368.24 and 12,660.30

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Solution

The fourth proportional to 22,732.25, 31,368.24 and 12,660.30 is: 17,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,732.25 : 31,368.24 = 12,660.30 : x
  2. Step 2: Convert to fraction form
    22,732.25/31,368.24 = 12,660.30/x
  3. Step 3: Cross multiply
    22,732.25x = 31,368.24 × 12,660.30
  4. Step 4: Simplify right side
    22,732.25x = 397,131,328.87
  5. Step 5: Solve for x
    x = 397,131,328.87/22,732.25
  6. Step 6: Final answer
    x = 17,469.96

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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.