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Finding the Fourth Proportional to 12,449.29, 18,677.27 and 5,429.87

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Solution

The fourth proportional to 12,449.29, 18,677.27 and 5,429.87 is: 8,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.29 : 18,677.27 = 5,429.87 : x
  2. Step 2: Convert to fraction form
    12,449.29/18,677.27 = 5,429.87/x
  3. Step 3: Cross multiply
    12,449.29x = 18,677.27 × 5,429.87
  4. Step 4: Simplify right side
    12,449.29x = 101,415,148.05
  5. Step 5: Solve for x
    x = 101,415,148.05/12,449.29
  6. Step 6: Final answer
    x = 8,146.26

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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.