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Finding the Fourth Proportional to 13,403.62, 20,105.19 and 4,638.41

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Solution

The fourth proportional to 13,403.62, 20,105.19 and 4,638.41 is: 6,957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.62 : 20,105.19 = 4,638.41 : x
  2. Step 2: Convert to fraction form
    13,403.62/20,105.19 = 4,638.41/x
  3. Step 3: Cross multiply
    13,403.62x = 20,105.19 × 4,638.41
  4. Step 4: Simplify right side
    13,403.62x = 93,256,013.82
  5. Step 5: Solve for x
    x = 93,256,013.82/13,403.62
  6. Step 6: Final answer
    x = 6,957.53

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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.