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Finding the Fourth Proportional to 23,264.96, 34,898.24 and 9,227.64

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Solution

The fourth proportional to 23,264.96, 34,898.24 and 9,227.64 is: 13,841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264.96 : 34,898.24 = 9,227.64 : x
  2. Step 2: Convert to fraction form
    23,264.96/34,898.24 = 9,227.64/x
  3. Step 3: Cross multiply
    23,264.96x = 34,898.24 × 9,227.64
  4. Step 4: Simplify right side
    23,264.96x = 322,028,395.35
  5. Step 5: Solve for x
    x = 322,028,395.35/23,264.96
  6. Step 6: Final answer
    x = 13,841.78

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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.