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Finding the Fourth Proportional to 12,196.87, 16,833.53 and 8,854.86

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Solution

The fourth proportional to 12,196.87, 16,833.53 and 8,854.86 is: 12,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.87 : 16,833.53 = 8,854.86 : x
  2. Step 2: Convert to fraction form
    12,196.87/16,833.53 = 8,854.86/x
  3. Step 3: Cross multiply
    12,196.87x = 16,833.53 × 8,854.86
  4. Step 4: Simplify right side
    12,196.87x = 149,058,551.46
  5. Step 5: Solve for x
    x = 149,058,551.46/12,196.87
  6. Step 6: Final answer
    x = 12,221.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.