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Finding the Fourth Proportional to 11,874.40, 17,715.04 and 10,132

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Solution

The fourth proportional to 11,874.40, 17,715.04 and 10,132 is: 15,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.40 : 17,715.04 = 10,132 : x
  2. Step 2: Convert to fraction form
    11,874.40/17,715.04 = 10,132/x
  3. Step 3: Cross multiply
    11,874.40x = 17,715.04 × 10,132
  4. Step 4: Simplify right side
    11,874.40x = 179,488,785.28
  5. Step 5: Solve for x
    x = 179,488,785.28/11,874.40
  6. Step 6: Final answer
    x = 15,115.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.