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Finding the Fourth Proportional to 19,695.16, 29,542.70 and 5,843.08

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Solution

The fourth proportional to 19,695.16, 29,542.70 and 5,843.08 is: 8,764.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,695.16 : 29,542.70 = 5,843.08 : x
  2. Step 2: Convert to fraction form
    19,695.16/29,542.70 = 5,843.08/x
  3. Step 3: Cross multiply
    19,695.16x = 29,542.70 × 5,843.08
  4. Step 4: Simplify right side
    19,695.16x = 172,620,359.52
  5. Step 5: Solve for x
    x = 172,620,359.52/19,695.16
  6. Step 6: Final answer
    x = 8,764.61

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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.