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Finding the Fourth Proportional to 12,932.71, 19,394.37 and 5,537.68

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Solution

The fourth proportional to 12,932.71, 19,394.37 and 5,537.68 is: 8,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.71 : 19,394.37 = 5,537.68 : x
  2. Step 2: Convert to fraction form
    12,932.71/19,394.37 = 5,537.68/x
  3. Step 3: Cross multiply
    12,932.71x = 19,394.37 × 5,537.68
  4. Step 4: Simplify right side
    12,932.71x = 107,399,814.86
  5. Step 5: Solve for x
    x = 107,399,814.86/12,932.71
  6. Step 6: Final answer
    x = 8,304.51

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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.