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Finding the Fourth Proportional to 20,782.94, 31,167.12 and 5,987.90

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Solution

The fourth proportional to 20,782.94, 31,167.12 and 5,987.90 is: 8,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.94 : 31,167.12 = 5,987.90 : x
  2. Step 2: Convert to fraction form
    20,782.94/31,167.12 = 5,987.90/x
  3. Step 3: Cross multiply
    20,782.94x = 31,167.12 × 5,987.90
  4. Step 4: Simplify right side
    20,782.94x = 186,625,597.85
  5. Step 5: Solve for x
    x = 186,625,597.85/20,782.94
  6. Step 6: Final answer
    x = 8,979.75

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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.