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Finding the Fourth Proportional to 15,301.38, 22,954.38 and 5,438.31

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Solution

The fourth proportional to 15,301.38, 22,954.38 and 5,438.31 is: 8,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,301.38 : 22,954.38 = 5,438.31 : x
  2. Step 2: Convert to fraction form
    15,301.38/22,954.38 = 5,438.31/x
  3. Step 3: Cross multiply
    15,301.38x = 22,954.38 × 5,438.31
  4. Step 4: Simplify right side
    15,301.38x = 124,833,034.30
  5. Step 5: Solve for x
    x = 124,833,034.30/15,301.38
  6. Step 6: Final answer
    x = 8,158.29

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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.