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Finding the Fourth Proportional to 12,223.12, 16,868.16 and 7,443.27

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Solution

The fourth proportional to 12,223.12, 16,868.16 and 7,443.27 is: 10,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.12 : 16,868.16 = 7,443.27 : x
  2. Step 2: Convert to fraction form
    12,223.12/16,868.16 = 7,443.27/x
  3. Step 3: Cross multiply
    12,223.12x = 16,868.16 × 7,443.27
  4. Step 4: Simplify right side
    12,223.12x = 125,554,269.28
  5. Step 5: Solve for x
    x = 125,554,269.28/12,223.12
  6. Step 6: Final answer
    x = 10,271.87

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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.