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Finding the Fourth Proportional to 12,206.60, 18,281.10 and 8,289.80

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Solution

The fourth proportional to 12,206.60, 18,281.10 and 8,289.80 is: 12,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.60 : 18,281.10 = 8,289.80 : x
  2. Step 2: Convert to fraction form
    12,206.60/18,281.10 = 8,289.80/x
  3. Step 3: Cross multiply
    12,206.60x = 18,281.10 × 8,289.80
  4. Step 4: Simplify right side
    12,206.60x = 151,546,662.78
  5. Step 5: Solve for x
    x = 151,546,662.78/12,206.60
  6. Step 6: Final answer
    x = 12,415.14

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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.