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Finding the Fourth Proportional to 19,642.56, 29,452.50 and 7,942.92

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Solution

The fourth proportional to 19,642.56, 29,452.50 and 7,942.92 is: 11,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.56 : 29,452.50 = 7,942.92 : x
  2. Step 2: Convert to fraction form
    19,642.56/29,452.50 = 7,942.92/x
  3. Step 3: Cross multiply
    19,642.56x = 29,452.50 × 7,942.92
  4. Step 4: Simplify right side
    19,642.56x = 233,938,851.30
  5. Step 5: Solve for x
    x = 233,938,851.30/19,642.56
  6. Step 6: Final answer
    x = 11,909.79

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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.