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Finding the Fourth Proportional to 13,714.62, 20,559.62 and 4,947.49

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Solution

The fourth proportional to 13,714.62, 20,559.62 and 4,947.49 is: 7,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.62 : 20,559.62 = 4,947.49 : x
  2. Step 2: Convert to fraction form
    13,714.62/20,559.62 = 4,947.49/x
  3. Step 3: Cross multiply
    13,714.62x = 20,559.62 × 4,947.49
  4. Step 4: Simplify right side
    13,714.62x = 101,718,438.22
  5. Step 5: Solve for x
    x = 101,718,438.22/13,714.62
  6. Step 6: Final answer
    x = 7,416.79

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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.