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Finding the Fourth Proportional to 22,757.36, 34,112.88 and 8,713.76

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Solution

The fourth proportional to 22,757.36, 34,112.88 and 8,713.76 is: 13,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.36 : 34,112.88 = 8,713.76 : x
  2. Step 2: Convert to fraction form
    22,757.36/34,112.88 = 8,713.76/x
  3. Step 3: Cross multiply
    22,757.36x = 34,112.88 × 8,713.76
  4. Step 4: Simplify right side
    22,757.36x = 297,251,278.66
  5. Step 5: Solve for x
    x = 297,251,278.66/22,757.36
  6. Step 6: Final answer
    x = 13,061.77

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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.