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Finding the Fourth Proportional to 13,914.56, 20,868.06 and 5,144.60

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Solution

The fourth proportional to 13,914.56, 20,868.06 and 5,144.60 is: 7,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.56 : 20,868.06 = 5,144.60 : x
  2. Step 2: Convert to fraction form
    13,914.56/20,868.06 = 5,144.60/x
  3. Step 3: Cross multiply
    13,914.56x = 20,868.06 × 5,144.60
  4. Step 4: Simplify right side
    13,914.56x = 107,357,821.48
  5. Step 5: Solve for x
    x = 107,357,821.48/13,914.56
  6. Step 6: Final answer
    x = 7,715.50

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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.