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Finding the Fourth Proportional to 13,778.73, 20,659.21 and 5,886.40

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Solution

The fourth proportional to 13,778.73, 20,659.21 and 5,886.40 is: 8,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.73 : 20,659.21 = 5,886.40 : x
  2. Step 2: Convert to fraction form
    13,778.73/20,659.21 = 5,886.40/x
  3. Step 3: Cross multiply
    13,778.73x = 20,659.21 × 5,886.40
  4. Step 4: Simplify right side
    13,778.73x = 121,608,373.74
  5. Step 5: Solve for x
    x = 121,608,373.74/13,778.73
  6. Step 6: Final answer
    x = 8,825.80

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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.