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Finding the Fourth Proportional to 18,291.62, 27,438.71 and 7,760.44

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Solution

The fourth proportional to 18,291.62, 27,438.71 and 7,760.44 is: 11,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,291.62 : 27,438.71 = 7,760.44 : x
  2. Step 2: Convert to fraction form
    18,291.62/27,438.71 = 7,760.44/x
  3. Step 3: Cross multiply
    18,291.62x = 27,438.71 × 7,760.44
  4. Step 4: Simplify right side
    18,291.62x = 212,936,462.63
  5. Step 5: Solve for x
    x = 212,936,462.63/18,291.62
  6. Step 6: Final answer
    x = 11,641.20

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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.