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Finding the Fourth Proportional to 12,187.20, 18,280.80 and 6,657.60

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Solution

The fourth proportional to 12,187.20, 18,280.80 and 6,657.60 is: 9,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.20 : 18,280.80 = 6,657.60 : x
  2. Step 2: Convert to fraction form
    12,187.20/18,280.80 = 6,657.60/x
  3. Step 3: Cross multiply
    12,187.20x = 18,280.80 × 6,657.60
  4. Step 4: Simplify right side
    12,187.20x = 121,706,254.08
  5. Step 5: Solve for x
    x = 121,706,254.08/12,187.20
  6. Step 6: Final answer
    x = 9,986.40

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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.