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Finding the Fourth Proportional to 12,491.52, 17,230.38 and 9,500.80

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Solution

The fourth proportional to 12,491.52, 17,230.38 and 9,500.80 is: 13,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.52 : 17,230.38 = 9,500.80 : x
  2. Step 2: Convert to fraction form
    12,491.52/17,230.38 = 9,500.80/x
  3. Step 3: Cross multiply
    12,491.52x = 17,230.38 × 9,500.80
  4. Step 4: Simplify right side
    12,491.52x = 163,702,380.21
  5. Step 5: Solve for x
    x = 163,702,380.21/12,491.52
  6. Step 6: Final answer
    x = 13,105.08

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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.