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Finding the Fourth Proportional to 19,493.24, 29,242.92 and 6,342.53

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Solution

The fourth proportional to 19,493.24, 29,242.92 and 6,342.53 is: 9,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,493.24 : 29,242.92 = 6,342.53 : x
  2. Step 2: Convert to fraction form
    19,493.24/29,242.92 = 6,342.53/x
  3. Step 3: Cross multiply
    19,493.24x = 29,242.92 × 6,342.53
  4. Step 4: Simplify right side
    19,493.24x = 185,473,951.17
  5. Step 5: Solve for x
    x = 185,473,951.17/19,493.24
  6. Step 6: Final answer
    x = 9,514.79

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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.