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Finding the Fourth Proportional to 14,761.80, 22,131.76 and 5,996

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Solution

The fourth proportional to 14,761.80, 22,131.76 and 5,996 is: 8,989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.80 : 22,131.76 = 5,996 : x
  2. Step 2: Convert to fraction form
    14,761.80/22,131.76 = 5,996/x
  3. Step 3: Cross multiply
    14,761.80x = 22,131.76 × 5,996
  4. Step 4: Simplify right side
    14,761.80x = 132,702,032.96
  5. Step 5: Solve for x
    x = 132,702,032.96/14,761.80
  6. Step 6: Final answer
    x = 8,989.56

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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.