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Finding the Fourth Proportional to 22,951.52, 31,673.40 and 12,882.14

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Solution

The fourth proportional to 22,951.52, 31,673.40 and 12,882.14 is: 17,777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.52 : 31,673.40 = 12,882.14 : x
  2. Step 2: Convert to fraction form
    22,951.52/31,673.40 = 12,882.14/x
  3. Step 3: Cross multiply
    22,951.52x = 31,673.40 × 12,882.14
  4. Step 4: Simplify right side
    22,951.52x = 408,021,173.08
  5. Step 5: Solve for x
    x = 408,021,173.08/22,951.52
  6. Step 6: Final answer
    x = 17,777.52

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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.