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Finding the Fourth Proportional to 13,578.16, 20,370.43 and 4,217.70

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Solution

The fourth proportional to 13,578.16, 20,370.43 and 4,217.70 is: 6,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.16 : 20,370.43 = 4,217.70 : x
  2. Step 2: Convert to fraction form
    13,578.16/20,370.43 = 4,217.70/x
  3. Step 3: Cross multiply
    13,578.16x = 20,370.43 × 4,217.70
  4. Step 4: Simplify right side
    13,578.16x = 85,916,362.61
  5. Step 5: Solve for x
    x = 85,916,362.61/13,578.16
  6. Step 6: Final answer
    x = 6,327.54

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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.