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Finding the Fourth Proportional to 12,217.23, 16,858.35 and 6,839.96

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Solution

The fourth proportional to 12,217.23, 16,858.35 and 6,839.96 is: 9,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.23 : 16,858.35 = 6,839.96 : x
  2. Step 2: Convert to fraction form
    12,217.23/16,858.35 = 6,839.96/x
  3. Step 3: Cross multiply
    12,217.23x = 16,858.35 × 6,839.96
  4. Step 4: Simplify right side
    12,217.23x = 115,310,386.98
  5. Step 5: Solve for x
    x = 115,310,386.98/12,217.23
  6. Step 6: Final answer
    x = 9,438.34

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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.