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Finding the Fourth Proportional to 19,675.38, 29,502.24 and 13,442.43

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Solution

The fourth proportional to 19,675.38, 29,502.24 and 13,442.43 is: 20,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,675.38 : 29,502.24 = 13,442.43 : x
  2. Step 2: Convert to fraction form
    19,675.38/29,502.24 = 13,442.43/x
  3. Step 3: Cross multiply
    19,675.38x = 29,502.24 × 13,442.43
  4. Step 4: Simplify right side
    19,675.38x = 396,581,648.53
  5. Step 5: Solve for x
    x = 396,581,648.53/19,675.38
  6. Step 6: Final answer
    x = 20,156.24

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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.