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Finding the Fourth Proportional to 28,778.64, 43,171.61 and 8,002.14

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Solution

The fourth proportional to 28,778.64, 43,171.61 and 8,002.14 is: 12,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,778.64 : 43,171.61 = 8,002.14 : x
  2. Step 2: Convert to fraction form
    28,778.64/43,171.61 = 8,002.14/x
  3. Step 3: Cross multiply
    28,778.64x = 43,171.61 × 8,002.14
  4. Step 4: Simplify right side
    28,778.64x = 345,465,267.25
  5. Step 5: Solve for x
    x = 345,465,267.25/28,778.64
  6. Step 6: Final answer
    x = 12,004.22

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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.