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Finding the Fourth Proportional to 12,182.60, 18,280.86 and 6,635.72

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Solution

The fourth proportional to 12,182.60, 18,280.86 and 6,635.72 is: 9,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.60 : 18,280.86 = 6,635.72 : x
  2. Step 2: Convert to fraction form
    12,182.60/18,280.86 = 6,635.72/x
  3. Step 3: Cross multiply
    12,182.60x = 18,280.86 × 6,635.72
  4. Step 4: Simplify right side
    12,182.60x = 121,306,668.32
  5. Step 5: Solve for x
    x = 121,306,668.32/12,182.60
  6. Step 6: Final answer
    x = 9,957.37

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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.