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Finding the Fourth Proportional to 12,491.60, 17,231.88 and 8,458.52

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Solution

The fourth proportional to 12,491.60, 17,231.88 and 8,458.52 is: 11,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.60 : 17,231.88 = 8,458.52 : x
  2. Step 2: Convert to fraction form
    12,491.60/17,231.88 = 8,458.52/x
  3. Step 3: Cross multiply
    12,491.60x = 17,231.88 × 8,458.52
  4. Step 4: Simplify right side
    12,491.60x = 145,756,201.62
  5. Step 5: Solve for x
    x = 145,756,201.62/12,491.60
  6. Step 6: Final answer
    x = 11,668.34

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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.