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Finding the Fourth Proportional to 13,727, 20,590.68 and 4,493

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Solution

The fourth proportional to 13,727, 20,590.68 and 4,493 is: 6,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,727 : 20,590.68 = 4,493 : x
  2. Step 2: Convert to fraction form
    13,727/20,590.68 = 4,493/x
  3. Step 3: Cross multiply
    13,727x = 20,590.68 × 4,493
  4. Step 4: Simplify right side
    13,727x = 92,513,925.24
  5. Step 5: Solve for x
    x = 92,513,925.24/13,727
  6. Step 6: Final answer
    x = 6,739.56

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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.