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Finding the Fourth Proportional to 23,103.61, 31,883 and 12,493.24

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Solution

The fourth proportional to 23,103.61, 31,883 and 12,493.24 is: 17,240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103.61 : 31,883 = 12,493.24 : x
  2. Step 2: Convert to fraction form
    23,103.61/31,883 = 12,493.24/x
  3. Step 3: Cross multiply
    23,103.61x = 31,883 × 12,493.24
  4. Step 4: Simplify right side
    23,103.61x = 398,321,970.92
  5. Step 5: Solve for x
    x = 398,321,970.92/23,103.61
  6. Step 6: Final answer
    x = 17,240.68

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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.