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Finding the Fourth Proportional to 13,910.67, 20,869.65 and 5,146.47

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Solution

The fourth proportional to 13,910.67, 20,869.65 and 5,146.47 is: 7,721.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.67 : 20,869.65 = 5,146.47 : x
  2. Step 2: Convert to fraction form
    13,910.67/20,869.65 = 5,146.47/x
  3. Step 3: Cross multiply
    13,910.67x = 20,869.65 × 5,146.47
  4. Step 4: Simplify right side
    13,910.67x = 107,405,027.64
  5. Step 5: Solve for x
    x = 107,405,027.64/13,910.67
  6. Step 6: Final answer
    x = 7,721.05

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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.