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Finding the Fourth Proportional to 12,224.81, 16,868.90 and 6,918.57

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Solution

The fourth proportional to 12,224.81, 16,868.90 and 6,918.57 is: 9,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.81 : 16,868.90 = 6,918.57 : x
  2. Step 2: Convert to fraction form
    12,224.81/16,868.90 = 6,918.57/x
  3. Step 3: Cross multiply
    12,224.81x = 16,868.90 × 6,918.57
  4. Step 4: Simplify right side
    12,224.81x = 116,708,665.47
  5. Step 5: Solve for x
    x = 116,708,665.47/12,224.81
  6. Step 6: Final answer
    x = 9,546.87

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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.