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Finding the Fourth Proportional to 19,493.38, 29,242.50 and 6,342.22

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Solution

The fourth proportional to 19,493.38, 29,242.50 and 6,342.22 is: 9,514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,493.38 : 29,242.50 = 6,342.22 : x
  2. Step 2: Convert to fraction form
    19,493.38/29,242.50 = 6,342.22/x
  3. Step 3: Cross multiply
    19,493.38x = 29,242.50 × 6,342.22
  4. Step 4: Simplify right side
    19,493.38x = 185,462,368.35
  5. Step 5: Solve for x
    x = 185,462,368.35/19,493.38
  6. Step 6: Final answer
    x = 9,514.12

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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.