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Finding the Fourth Proportional to 19,729.12, 29,593.68 and 8,040.28

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Solution

The fourth proportional to 19,729.12, 29,593.68 and 8,040.28 is: 12,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.12 : 29,593.68 = 8,040.28 : x
  2. Step 2: Convert to fraction form
    19,729.12/29,593.68 = 8,040.28/x
  3. Step 3: Cross multiply
    19,729.12x = 29,593.68 × 8,040.28
  4. Step 4: Simplify right side
    19,729.12x = 237,941,473.43
  5. Step 5: Solve for x
    x = 237,941,473.43/19,729.12
  6. Step 6: Final answer
    x = 12,060.42

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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.