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Finding the Fourth Proportional to 12,832.38, 19,243.68 and 6,167.04

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Solution

The fourth proportional to 12,832.38, 19,243.68 and 6,167.04 is: 9,248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.38 : 19,243.68 = 6,167.04 : x
  2. Step 2: Convert to fraction form
    12,832.38/19,243.68 = 6,167.04/x
  3. Step 3: Cross multiply
    12,832.38x = 19,243.68 × 6,167.04
  4. Step 4: Simplify right side
    12,832.38x = 118,676,544.31
  5. Step 5: Solve for x
    x = 118,676,544.31/12,832.38
  6. Step 6: Final answer
    x = 9,248.21

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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.