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Finding the Fourth Proportional to 13,600.40, 20,412.12 and 9,211.28

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Solution

The fourth proportional to 13,600.40, 20,412.12 and 9,211.28 is: 13,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.40 : 20,412.12 = 9,211.28 : x
  2. Step 2: Convert to fraction form
    13,600.40/20,412.12 = 9,211.28/x
  3. Step 3: Cross multiply
    13,600.40x = 20,412.12 × 9,211.28
  4. Step 4: Simplify right side
    13,600.40x = 188,021,752.71
  5. Step 5: Solve for x
    x = 188,021,752.71/13,600.40
  6. Step 6: Final answer
    x = 13,824.72

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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.