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Finding the Fourth Proportional to 12,196.18, 16,829.92 and 6,890.66

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Solution

The fourth proportional to 12,196.18, 16,829.92 and 6,890.66 is: 9,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.18 : 16,829.92 = 6,890.66 : x
  2. Step 2: Convert to fraction form
    12,196.18/16,829.92 = 6,890.66/x
  3. Step 3: Cross multiply
    12,196.18x = 16,829.92 × 6,890.66
  4. Step 4: Simplify right side
    12,196.18x = 115,969,155.17
  5. Step 5: Solve for x
    x = 115,969,155.17/12,196.18
  6. Step 6: Final answer
    x = 9,508.65

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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.