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Finding the Fourth Proportional to 12,280.86, 18,427.77 and 9,632.16

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Solution

The fourth proportional to 12,280.86, 18,427.77 and 9,632.16 is: 14,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.86 : 18,427.77 = 9,632.16 : x
  2. Step 2: Convert to fraction form
    12,280.86/18,427.77 = 9,632.16/x
  3. Step 3: Cross multiply
    12,280.86x = 18,427.77 × 9,632.16
  4. Step 4: Simplify right side
    12,280.86x = 177,499,229.08
  5. Step 5: Solve for x
    x = 177,499,229.08/12,280.86
  6. Step 6: Final answer
    x = 14,453.32

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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.