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Finding the Fourth Proportional to 15,202.32, 22,801.87 and 7,195.17

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Solution

The fourth proportional to 15,202.32, 22,801.87 and 7,195.17 is: 10,791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.32 : 22,801.87 = 7,195.17 : x
  2. Step 2: Convert to fraction form
    15,202.32/22,801.87 = 7,195.17/x
  3. Step 3: Cross multiply
    15,202.32x = 22,801.87 × 7,195.17
  4. Step 4: Simplify right side
    15,202.32x = 164,063,330.97
  5. Step 5: Solve for x
    x = 164,063,330.97/15,202.32
  6. Step 6: Final answer
    x = 10,791.99

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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.