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Finding the Fourth Proportional to 12,231.32, 18,356.16 and 5,662.10

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Solution

The fourth proportional to 12,231.32, 18,356.16 and 5,662.10 is: 8,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.32 : 18,356.16 = 5,662.10 : x
  2. Step 2: Convert to fraction form
    12,231.32/18,356.16 = 5,662.10/x
  3. Step 3: Cross multiply
    12,231.32x = 18,356.16 × 5,662.10
  4. Step 4: Simplify right side
    12,231.32x = 103,934,413.54
  5. Step 5: Solve for x
    x = 103,934,413.54/12,231.32
  6. Step 6: Final answer
    x = 8,497.40

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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.