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Finding the Fourth Proportional to 23,103.60, 31,882.77 and 12,493.14

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Solution

The fourth proportional to 23,103.60, 31,882.77 and 12,493.14 is: 17,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103.60 : 31,882.77 = 12,493.14 : x
  2. Step 2: Convert to fraction form
    23,103.60/31,882.77 = 12,493.14/x
  3. Step 3: Cross multiply
    23,103.60x = 31,882.77 × 12,493.14
  4. Step 4: Simplify right side
    23,103.60x = 398,315,909.20
  5. Step 5: Solve for x
    x = 398,315,909.20/23,103.60
  6. Step 6: Final answer
    x = 17,240.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.