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Finding the Fourth Proportional to 13,729.86, 20,595.42 and 6,701.49

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Solution

The fourth proportional to 13,729.86, 20,595.42 and 6,701.49 is: 10,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.86 : 20,595.42 = 6,701.49 : x
  2. Step 2: Convert to fraction form
    13,729.86/20,595.42 = 6,701.49/x
  3. Step 3: Cross multiply
    13,729.86x = 20,595.42 × 6,701.49
  4. Step 4: Simplify right side
    13,729.86x = 138,020,001.18
  5. Step 5: Solve for x
    x = 138,020,001.18/13,729.86
  6. Step 6: Final answer
    x = 10,052.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.