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Finding the Fourth Proportional to 20,758.80, 31,132.43 and 5,762.47

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Solution

The fourth proportional to 20,758.80, 31,132.43 and 5,762.47 is: 8,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,758.80 : 31,132.43 = 5,762.47 : x
  2. Step 2: Convert to fraction form
    20,758.80/31,132.43 = 5,762.47/x
  3. Step 3: Cross multiply
    20,758.80x = 31,132.43 × 5,762.47
  4. Step 4: Simplify right side
    20,758.80x = 179,399,608.87
  5. Step 5: Solve for x
    x = 179,399,608.87/20,758.80
  6. Step 6: Final answer
    x = 8,642.10

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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.