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Finding the Fourth Proportional to 22,711.37, 34,068.41 and 9,564.76

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Solution

The fourth proportional to 22,711.37, 34,068.41 and 9,564.76 is: 14,347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.37 : 34,068.41 = 9,564.76 : x
  2. Step 2: Convert to fraction form
    22,711.37/34,068.41 = 9,564.76/x
  3. Step 3: Cross multiply
    22,711.37x = 34,068.41 × 9,564.76
  4. Step 4: Simplify right side
    22,711.37x = 325,856,103.97
  5. Step 5: Solve for x
    x = 325,856,103.97/22,711.37
  6. Step 6: Final answer
    x = 14,347.71

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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.