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Finding the Fourth Proportional to 13,454.76, 20,170.30 and 5,241

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Solution

The fourth proportional to 13,454.76, 20,170.30 and 5,241 is: 7,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.76 : 20,170.30 = 5,241 : x
  2. Step 2: Convert to fraction form
    13,454.76/20,170.30 = 5,241/x
  3. Step 3: Cross multiply
    13,454.76x = 20,170.30 × 5,241
  4. Step 4: Simplify right side
    13,454.76x = 105,712,542.30
  5. Step 5: Solve for x
    x = 105,712,542.30/13,454.76
  6. Step 6: Final answer
    x = 7,856.89

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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.