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Finding the Fourth Proportional to 12,032.56, 18,046.51 and 3,711.31

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Solution

The fourth proportional to 12,032.56, 18,046.51 and 3,711.31 is: 5,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.56 : 18,046.51 = 3,711.31 : x
  2. Step 2: Convert to fraction form
    12,032.56/18,046.51 = 3,711.31/x
  3. Step 3: Cross multiply
    12,032.56x = 18,046.51 × 3,711.31
  4. Step 4: Simplify right side
    12,032.56x = 66,976,193.03
  5. Step 5: Solve for x
    x = 66,976,193.03/12,032.56
  6. Step 6: Final answer
    x = 5,566.25

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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.