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Finding the Fourth Proportional to 12,322.96, 18,456.67 and 8,641.61

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Solution

The fourth proportional to 12,322.96, 18,456.67 and 8,641.61 is: 12,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.96 : 18,456.67 = 8,641.61 : x
  2. Step 2: Convert to fraction form
    12,322.96/18,456.67 = 8,641.61/x
  3. Step 3: Cross multiply
    12,322.96x = 18,456.67 × 8,641.61
  4. Step 4: Simplify right side
    12,322.96x = 159,495,344.04
  5. Step 5: Solve for x
    x = 159,495,344.04/12,322.96
  6. Step 6: Final answer
    x = 12,942.94

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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.