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Finding the Fourth Proportional to 17,580.39, 26,358.71 and 9,251.57

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Solution

The fourth proportional to 17,580.39, 26,358.71 and 9,251.57 is: 13,871.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,580.39 : 26,358.71 = 9,251.57 : x
  2. Step 2: Convert to fraction form
    17,580.39/26,358.71 = 9,251.57/x
  3. Step 3: Cross multiply
    17,580.39x = 26,358.71 × 9,251.57
  4. Step 4: Simplify right side
    17,580.39x = 243,859,272.62
  5. Step 5: Solve for x
    x = 243,859,272.62/17,580.39
  6. Step 6: Final answer
    x = 13,871.10

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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.