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Finding the Fourth Proportional to 25,983.20, 38,917.20 and 15,615.20

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Solution

The fourth proportional to 25,983.20, 38,917.20 and 15,615.20 is: 23,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,983.20 : 38,917.20 = 15,615.20 : x
  2. Step 2: Convert to fraction form
    25,983.20/38,917.20 = 15,615.20/x
  3. Step 3: Cross multiply
    25,983.20x = 38,917.20 × 15,615.20
  4. Step 4: Simplify right side
    25,983.20x = 607,699,861.44
  5. Step 5: Solve for x
    x = 607,699,861.44/25,983.20
  6. Step 6: Final answer
    x = 23,388.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.