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Finding the Fourth Proportional to 13,759.38, 18,987.84 and 7,471.80

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Solution

The fourth proportional to 13,759.38, 18,987.84 and 7,471.80 is: 10,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759.38 : 18,987.84 = 7,471.80 : x
  2. Step 2: Convert to fraction form
    13,759.38/18,987.84 = 7,471.80/x
  3. Step 3: Cross multiply
    13,759.38x = 18,987.84 × 7,471.80
  4. Step 4: Simplify right side
    13,759.38x = 141,873,342.91
  5. Step 5: Solve for x
    x = 141,873,342.91/13,759.38
  6. Step 6: Final answer
    x = 10,311.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.