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Finding the Fourth Proportional to 16,140.39, 24,217.40 and 12,449.82

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Solution

The fourth proportional to 16,140.39, 24,217.40 and 12,449.82 is: 18,679.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,140.39 : 24,217.40 = 12,449.82 : x
  2. Step 2: Convert to fraction form
    16,140.39/24,217.40 = 12,449.82/x
  3. Step 3: Cross multiply
    16,140.39x = 24,217.40 × 12,449.82
  4. Step 4: Simplify right side
    16,140.39x = 301,502,270.87
  5. Step 5: Solve for x
    x = 301,502,270.87/16,140.39
  6. Step 6: Final answer
    x = 18,679.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.