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Finding the Fourth Proportional to 12,032.71, 18,049.30 and 4,135.14

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Solution

The fourth proportional to 12,032.71, 18,049.30 and 4,135.14 is: 6,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.71 : 18,049.30 = 4,135.14 : x
  2. Step 2: Convert to fraction form
    12,032.71/18,049.30 = 4,135.14/x
  3. Step 3: Cross multiply
    12,032.71x = 18,049.30 × 4,135.14
  4. Step 4: Simplify right side
    12,032.71x = 74,636,382.40
  5. Step 5: Solve for x
    x = 74,636,382.40/12,032.71
  6. Step 6: Final answer
    x = 6,202.79

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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.