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Finding the Fourth Proportional to 13,649.70, 20,433.54 and 12,223.90

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Solution

The fourth proportional to 13,649.70, 20,433.54 and 12,223.90 is: 18,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.70 : 20,433.54 = 12,223.90 : x
  2. Step 2: Convert to fraction form
    13,649.70/20,433.54 = 12,223.90/x
  3. Step 3: Cross multiply
    13,649.70x = 20,433.54 × 12,223.90
  4. Step 4: Simplify right side
    13,649.70x = 249,777,549.61
  5. Step 5: Solve for x
    x = 249,777,549.61/13,649.70
  6. Step 6: Final answer
    x = 18,299.12

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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.