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Finding the Fourth Proportional to 23,718, 32,729.56 and 13,107

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Solution

The fourth proportional to 23,718, 32,729.56 and 13,107 is: 18,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,718 : 32,729.56 = 13,107 : x
  2. Step 2: Convert to fraction form
    23,718/32,729.56 = 13,107/x
  3. Step 3: Cross multiply
    23,718x = 32,729.56 × 13,107
  4. Step 4: Simplify right side
    23,718x = 428,986,342.92
  5. Step 5: Solve for x
    x = 428,986,342.92/23,718
  6. Step 6: Final answer
    x = 18,086.95

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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.