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Finding the Fourth Proportional to 13,939.29, 20,911.86 and 4,578.57

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Solution

The fourth proportional to 13,939.29, 20,911.86 and 4,578.57 is: 6,868.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,939.29 : 20,911.86 = 4,578.57 : x
  2. Step 2: Convert to fraction form
    13,939.29/20,911.86 = 4,578.57/x
  3. Step 3: Cross multiply
    13,939.29x = 20,911.86 × 4,578.57
  4. Step 4: Simplify right side
    13,939.29x = 95,746,414.84
  5. Step 5: Solve for x
    x = 95,746,414.84/13,939.29
  6. Step 6: Final answer
    x = 6,868.82

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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.