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Finding the Fourth Proportional to 20,772.57, 31,159.53 and 5,982.24

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Solution

The fourth proportional to 20,772.57, 31,159.53 and 5,982.24 is: 8,973.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,772.57 : 31,159.53 = 5,982.24 : x
  2. Step 2: Convert to fraction form
    20,772.57/31,159.53 = 5,982.24/x
  3. Step 3: Cross multiply
    20,772.57x = 31,159.53 × 5,982.24
  4. Step 4: Simplify right side
    20,772.57x = 186,403,786.75
  5. Step 5: Solve for x
    x = 186,403,786.75/20,772.57
  6. Step 6: Final answer
    x = 8,973.55

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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.