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Finding the Fourth Proportional to 13,753.56, 20,638.26 and 5,963.16

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Solution

The fourth proportional to 13,753.56, 20,638.26 and 5,963.16 is: 8,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.56 : 20,638.26 = 5,963.16 : x
  2. Step 2: Convert to fraction form
    13,753.56/20,638.26 = 5,963.16/x
  3. Step 3: Cross multiply
    13,753.56x = 20,638.26 × 5,963.16
  4. Step 4: Simplify right side
    13,753.56x = 123,069,246.50
  5. Step 5: Solve for x
    x = 123,069,246.50/13,753.56
  6. Step 6: Final answer
    x = 8,948.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.