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Finding the Fourth Proportional to 12,035.57, 18,046.71 and 3,713.27

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Solution

The fourth proportional to 12,035.57, 18,046.71 and 3,713.27 is: 5,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035.57 : 18,046.71 = 3,713.27 : x
  2. Step 2: Convert to fraction form
    12,035.57/18,046.71 = 3,713.27/x
  3. Step 3: Cross multiply
    12,035.57x = 18,046.71 × 3,713.27
  4. Step 4: Simplify right side
    12,035.57x = 67,012,216.61
  5. Step 5: Solve for x
    x = 67,012,216.61/12,035.57
  6. Step 6: Final answer
    x = 5,567.85

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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.