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Finding the Fourth Proportional to 12,223.38, 18,328.16 and 3,901.44

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Solution

The fourth proportional to 12,223.38, 18,328.16 and 3,901.44 is: 5,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.38 : 18,328.16 = 3,901.44 : x
  2. Step 2: Convert to fraction form
    12,223.38/18,328.16 = 3,901.44/x
  3. Step 3: Cross multiply
    12,223.38x = 18,328.16 × 3,901.44
  4. Step 4: Simplify right side
    12,223.38x = 71,506,216.55
  5. Step 5: Solve for x
    x = 71,506,216.55/12,223.38
  6. Step 6: Final answer
    x = 5,849.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.