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Finding the Fourth Proportional to 12,187.60, 18,275.96 and 3,866.08

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Solution

The fourth proportional to 12,187.60, 18,275.96 and 3,866.08 is: 5,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.60 : 18,275.96 = 3,866.08 : x
  2. Step 2: Convert to fraction form
    12,187.60/18,275.96 = 3,866.08/x
  3. Step 3: Cross multiply
    12,187.60x = 18,275.96 × 3,866.08
  4. Step 4: Simplify right side
    12,187.60x = 70,656,323.44
  5. Step 5: Solve for x
    x = 70,656,323.44/12,187.60
  6. Step 6: Final answer
    x = 5,797.39

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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.