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Finding the Fourth Proportional to 22,758.40, 34,141.20 and 7,966.96

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Solution

The fourth proportional to 22,758.40, 34,141.20 and 7,966.96 is: 11,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.40 : 34,141.20 = 7,966.96 : x
  2. Step 2: Convert to fraction form
    22,758.40/34,141.20 = 7,966.96/x
  3. Step 3: Cross multiply
    22,758.40x = 34,141.20 × 7,966.96
  4. Step 4: Simplify right side
    22,758.40x = 272,001,574.75
  5. Step 5: Solve for x
    x = 272,001,574.75/22,758.40
  6. Step 6: Final answer
    x = 11,951.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.