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Finding the Fourth Proportional to 13,707.48, 20,560.86 and 7,860

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Solution

The fourth proportional to 13,707.48, 20,560.86 and 7,860 is: 11,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.48 : 20,560.86 = 7,860 : x
  2. Step 2: Convert to fraction form
    13,707.48/20,560.86 = 7,860/x
  3. Step 3: Cross multiply
    13,707.48x = 20,560.86 × 7,860
  4. Step 4: Simplify right side
    13,707.48x = 161,608,359.60
  5. Step 5: Solve for x
    x = 161,608,359.60/13,707.48
  6. Step 6: Final answer
    x = 11,789.79

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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.