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Finding the Fourth Proportional to 15,129.72, 22,697.46 and 5,895

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Solution

The fourth proportional to 15,129.72, 22,697.46 and 5,895 is: 8,843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.72 : 22,697.46 = 5,895 : x
  2. Step 2: Convert to fraction form
    15,129.72/22,697.46 = 5,895/x
  3. Step 3: Cross multiply
    15,129.72x = 22,697.46 × 5,895
  4. Step 4: Simplify right side
    15,129.72x = 133,801,526.70
  5. Step 5: Solve for x
    x = 133,801,526.70/15,129.72
  6. Step 6: Final answer
    x = 8,843.62

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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.