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Finding the Fourth Proportional to 13,948.98, 20,917.98 and 5,062.20

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Solution

The fourth proportional to 13,948.98, 20,917.98 and 5,062.20 is: 7,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948.98 : 20,917.98 = 5,062.20 : x
  2. Step 2: Convert to fraction form
    13,948.98/20,917.98 = 5,062.20/x
  3. Step 3: Cross multiply
    13,948.98x = 20,917.98 × 5,062.20
  4. Step 4: Simplify right side
    13,948.98x = 105,890,998.36
  5. Step 5: Solve for x
    x = 105,890,998.36/13,948.98
  6. Step 6: Final answer
    x = 7,591.31

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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.