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Finding the Fourth Proportional to 13,843.44, 20,764.98 and 5,077.08

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Solution

The fourth proportional to 13,843.44, 20,764.98 and 5,077.08 is: 7,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.44 : 20,764.98 = 5,077.08 : x
  2. Step 2: Convert to fraction form
    13,843.44/20,764.98 = 5,077.08/x
  3. Step 3: Cross multiply
    13,843.44x = 20,764.98 × 5,077.08
  4. Step 4: Simplify right side
    13,843.44x = 105,425,464.66
  5. Step 5: Solve for x
    x = 105,425,464.66/13,843.44
  6. Step 6: Final answer
    x = 7,615.55

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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.