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Finding the Fourth Proportional to 27,171.39, 40,758.45 and 9,642.58

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Solution

The fourth proportional to 27,171.39, 40,758.45 and 9,642.58 is: 14,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,171.39 : 40,758.45 = 9,642.58 : x
  2. Step 2: Convert to fraction form
    27,171.39/40,758.45 = 9,642.58/x
  3. Step 3: Cross multiply
    27,171.39x = 40,758.45 × 9,642.58
  4. Step 4: Simplify right side
    27,171.39x = 393,016,614.80
  5. Step 5: Solve for x
    x = 393,016,614.80/27,171.39
  6. Step 6: Final answer
    x = 14,464.35

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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.