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Finding the Fourth Proportional to 12,460.38, 17,175.27 and 9,097.86

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Solution

The fourth proportional to 12,460.38, 17,175.27 and 9,097.86 is: 12,540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,460.38 : 17,175.27 = 9,097.86 : x
  2. Step 2: Convert to fraction form
    12,460.38/17,175.27 = 9,097.86/x
  3. Step 3: Cross multiply
    12,460.38x = 17,175.27 × 9,097.86
  4. Step 4: Simplify right side
    12,460.38x = 156,258,201.92
  5. Step 5: Solve for x
    x = 156,258,201.92/12,460.38
  6. Step 6: Final answer
    x = 12,540.40

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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.