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Finding the Fourth Proportional to 17,856.68, 24,644.50 and 11,729.61

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Solution

The fourth proportional to 17,856.68, 24,644.50 and 11,729.61 is: 16,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.68 : 24,644.50 = 11,729.61 : x
  2. Step 2: Convert to fraction form
    17,856.68/24,644.50 = 11,729.61/x
  3. Step 3: Cross multiply
    17,856.68x = 24,644.50 × 11,729.61
  4. Step 4: Simplify right side
    17,856.68x = 289,070,344.32
  5. Step 5: Solve for x
    x = 289,070,344.32/17,856.68
  6. Step 6: Final answer
    x = 16,188.36

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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.