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Finding the Fourth Proportional to 25,534, 38,306.76 and 8,002

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Solution

The fourth proportional to 25,534, 38,306.76 and 8,002 is: 12,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,534 : 38,306.76 = 8,002 : x
  2. Step 2: Convert to fraction form
    25,534/38,306.76 = 8,002/x
  3. Step 3: Cross multiply
    25,534x = 38,306.76 × 8,002
  4. Step 4: Simplify right side
    25,534x = 306,530,693.52
  5. Step 5: Solve for x
    x = 306,530,693.52/25,534
  6. Step 6: Final answer
    x = 12,004.81

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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.