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Finding the Fourth Proportional to 12,200.41, 16,836.69 and 6,895.18

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Solution

The fourth proportional to 12,200.41, 16,836.69 and 6,895.18 is: 9,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.41 : 16,836.69 = 6,895.18 : x
  2. Step 2: Convert to fraction form
    12,200.41/16,836.69 = 6,895.18/x
  3. Step 3: Cross multiply
    12,200.41x = 16,836.69 × 6,895.18
  4. Step 4: Simplify right side
    12,200.41x = 116,092,008.15
  5. Step 5: Solve for x
    x = 116,092,008.15/12,200.41
  6. Step 6: Final answer
    x = 9,515.42

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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.