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Finding the Fourth Proportional to 15,038, 20,753.42 and 8,414

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Solution

The fourth proportional to 15,038, 20,753.42 and 8,414 is: 11,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,038 : 20,753.42 = 8,414 : x
  2. Step 2: Convert to fraction form
    15,038/20,753.42 = 8,414/x
  3. Step 3: Cross multiply
    15,038x = 20,753.42 × 8,414
  4. Step 4: Simplify right side
    15,038x = 174,619,275.88
  5. Step 5: Solve for x
    x = 174,619,275.88/15,038
  6. Step 6: Final answer
    x = 11,611.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.