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Finding the Fourth Proportional to 13,478.33, 20,213.59 and 4,593.46

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Solution

The fourth proportional to 13,478.33, 20,213.59 and 4,593.46 is: 6,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.33 : 20,213.59 = 4,593.46 : x
  2. Step 2: Convert to fraction form
    13,478.33/20,213.59 = 4,593.46/x
  3. Step 3: Cross multiply
    13,478.33x = 20,213.59 × 4,593.46
  4. Step 4: Simplify right side
    13,478.33x = 92,850,216.05
  5. Step 5: Solve for x
    x = 92,850,216.05/13,478.33
  6. Step 6: Final answer
    x = 6,888.85

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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.