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Finding the Fourth Proportional to 12,217.67, 16,858.95 and 6,840.40

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Solution

The fourth proportional to 12,217.67, 16,858.95 and 6,840.40 is: 9,438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.67 : 16,858.95 = 6,840.40 : x
  2. Step 2: Convert to fraction form
    12,217.67/16,858.95 = 6,840.40/x
  3. Step 3: Cross multiply
    12,217.67x = 16,858.95 × 6,840.40
  4. Step 4: Simplify right side
    12,217.67x = 115,321,961.58
  5. Step 5: Solve for x
    x = 115,321,961.58/12,217.67
  6. Step 6: Final answer
    x = 9,438.95

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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.