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Finding the Fourth Proportional to 19,695.14, 29,542.67 and 5,844.14

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Solution

The fourth proportional to 19,695.14, 29,542.67 and 5,844.14 is: 8,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,695.14 : 29,542.67 = 5,844.14 : x
  2. Step 2: Convert to fraction form
    19,695.14/29,542.67 = 5,844.14/x
  3. Step 3: Cross multiply
    19,695.14x = 29,542.67 × 5,844.14
  4. Step 4: Simplify right side
    19,695.14x = 172,651,499.45
  5. Step 5: Solve for x
    x = 172,651,499.45/19,695.14
  6. Step 6: Final answer
    x = 8,766.20

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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.