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Finding the Fourth Proportional to 20,642.10, 30,963.42 and 8,156.76

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Solution

The fourth proportional to 20,642.10, 30,963.42 and 8,156.76 is: 12,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.10 : 30,963.42 = 8,156.76 : x
  2. Step 2: Convert to fraction form
    20,642.10/30,963.42 = 8,156.76/x
  3. Step 3: Cross multiply
    20,642.10x = 30,963.42 × 8,156.76
  4. Step 4: Simplify right side
    20,642.10x = 252,561,185.72
  5. Step 5: Solve for x
    x = 252,561,185.72/20,642.10
  6. Step 6: Final answer
    x = 12,235.25

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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.