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Finding the Fourth Proportional to 22,966.86, 31,691.90 and 12,896.40

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Solution

The fourth proportional to 22,966.86, 31,691.90 and 12,896.40 is: 17,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.86 : 31,691.90 = 12,896.40 : x
  2. Step 2: Convert to fraction form
    22,966.86/31,691.90 = 12,896.40/x
  3. Step 3: Cross multiply
    22,966.86x = 31,691.90 × 12,896.40
  4. Step 4: Simplify right side
    22,966.86x = 408,711,419.16
  5. Step 5: Solve for x
    x = 408,711,419.16/22,966.86
  6. Step 6: Final answer
    x = 17,795.70

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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.