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Finding the Fourth Proportional to 25,311.88, 37,960.53 and 9,512.02

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Solution

The fourth proportional to 25,311.88, 37,960.53 and 9,512.02 is: 14,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,311.88 : 37,960.53 = 9,512.02 : x
  2. Step 2: Convert to fraction form
    25,311.88/37,960.53 = 9,512.02/x
  3. Step 3: Cross multiply
    25,311.88x = 37,960.53 × 9,512.02
  4. Step 4: Simplify right side
    25,311.88x = 361,081,320.57
  5. Step 5: Solve for x
    x = 361,081,320.57/25,311.88
  6. Step 6: Final answer
    x = 14,265.29

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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.