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Finding the Fourth Proportional to 12,331.32, 18,537.08 and 9,892.82

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Solution

The fourth proportional to 12,331.32, 18,537.08 and 9,892.82 is: 14,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.32 : 18,537.08 = 9,892.82 : x
  2. Step 2: Convert to fraction form
    12,331.32/18,537.08 = 9,892.82/x
  3. Step 3: Cross multiply
    12,331.32x = 18,537.08 × 9,892.82
  4. Step 4: Simplify right side
    12,331.32x = 183,383,853.62
  5. Step 5: Solve for x
    x = 183,383,853.62/12,331.32
  6. Step 6: Final answer
    x = 14,871.39

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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.