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Finding the Fourth Proportional to 22,758.09, 34,152.62 and 13,966.17

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Solution

The fourth proportional to 22,758.09, 34,152.62 and 13,966.17 is: 20,958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.09 : 34,152.62 = 13,966.17 : x
  2. Step 2: Convert to fraction form
    22,758.09/34,152.62 = 13,966.17/x
  3. Step 3: Cross multiply
    22,758.09x = 34,152.62 × 13,966.17
  4. Step 4: Simplify right side
    22,758.09x = 476,981,227.03
  5. Step 5: Solve for x
    x = 476,981,227.03/22,758.09
  6. Step 6: Final answer
    x = 20,958.75

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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.