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Finding the Fourth Proportional to 20,642.34, 30,963.65 and 5,059.97

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Solution

The fourth proportional to 20,642.34, 30,963.65 and 5,059.97 is: 7,589.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.34 : 30,963.65 = 5,059.97 : x
  2. Step 2: Convert to fraction form
    20,642.34/30,963.65 = 5,059.97/x
  3. Step 3: Cross multiply
    20,642.34x = 30,963.65 × 5,059.97
  4. Step 4: Simplify right side
    20,642.34x = 156,674,959.97
  5. Step 5: Solve for x
    x = 156,674,959.97/20,642.34
  6. Step 6: Final answer
    x = 7,589.98

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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.