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Finding the Fourth Proportional to 12,002.32, 17,987.82 and 6,449.23

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Solution

The fourth proportional to 12,002.32, 17,987.82 and 6,449.23 is: 9,665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.32 : 17,987.82 = 6,449.23 : x
  2. Step 2: Convert to fraction form
    12,002.32/17,987.82 = 6,449.23/x
  3. Step 3: Cross multiply
    12,002.32x = 17,987.82 × 6,449.23
  4. Step 4: Simplify right side
    12,002.32x = 116,007,588.38
  5. Step 5: Solve for x
    x = 116,007,588.38/12,002.32
  6. Step 6: Final answer
    x = 9,665.43

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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.