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Finding the Fourth Proportional to 19,542.44, 29,315 and 9,679.04

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Solution

The fourth proportional to 19,542.44, 29,315 and 9,679.04 is: 14,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,542.44 : 29,315 = 9,679.04 : x
  2. Step 2: Convert to fraction form
    19,542.44/29,315 = 9,679.04/x
  3. Step 3: Cross multiply
    19,542.44x = 29,315 × 9,679.04
  4. Step 4: Simplify right side
    19,542.44x = 283,741,057.60
  5. Step 5: Solve for x
    x = 283,741,057.60/19,542.44
  6. Step 6: Final answer
    x = 14,519.22

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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.