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Finding the Fourth Proportional to 20,762.70, 31,046.85 and 15,513.90

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Solution

The fourth proportional to 20,762.70, 31,046.85 and 15,513.90 is: 23,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.70 : 31,046.85 = 15,513.90 : x
  2. Step 2: Convert to fraction form
    20,762.70/31,046.85 = 15,513.90/x
  3. Step 3: Cross multiply
    20,762.70x = 31,046.85 × 15,513.90
  4. Step 4: Simplify right side
    20,762.70x = 481,657,726.22
  5. Step 5: Solve for x
    x = 481,657,726.22/20,762.70
  6. Step 6: Final answer
    x = 23,198.22

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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.