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Finding the Fourth Proportional to 13,601.76, 20,400.33 and 6,204.49

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Solution

The fourth proportional to 13,601.76, 20,400.33 and 6,204.49 is: 9,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601.76 : 20,400.33 = 6,204.49 : x
  2. Step 2: Convert to fraction form
    13,601.76/20,400.33 = 6,204.49/x
  3. Step 3: Cross multiply
    13,601.76x = 20,400.33 × 6,204.49
  4. Step 4: Simplify right side
    13,601.76x = 126,573,569.61
  5. Step 5: Solve for x
    x = 126,573,569.61/13,601.76
  6. Step 6: Final answer
    x = 9,305.68

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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.