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Finding the Fourth Proportional to 12,002.60, 18,003.90 and 9,086.60

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Solution

The fourth proportional to 12,002.60, 18,003.90 and 9,086.60 is: 13,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.60 : 18,003.90 = 9,086.60 : x
  2. Step 2: Convert to fraction form
    12,002.60/18,003.90 = 9,086.60/x
  3. Step 3: Cross multiply
    12,002.60x = 18,003.90 × 9,086.60
  4. Step 4: Simplify right side
    12,002.60x = 163,594,237.74
  5. Step 5: Solve for x
    x = 163,594,237.74/12,002.60
  6. Step 6: Final answer
    x = 13,629.90

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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.