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Finding the Fourth Proportional to 12,189.60, 18,295.20 and 6,270.66

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Solution

The fourth proportional to 12,189.60, 18,295.20 and 6,270.66 is: 9,411.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.60 : 18,295.20 = 6,270.66 : x
  2. Step 2: Convert to fraction form
    12,189.60/18,295.20 = 6,270.66/x
  3. Step 3: Cross multiply
    12,189.60x = 18,295.20 × 6,270.66
  4. Step 4: Simplify right side
    12,189.60x = 114,722,978.83
  5. Step 5: Solve for x
    x = 114,722,978.83/12,189.60
  6. Step 6: Final answer
    x = 9,411.55

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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.