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Finding the Fourth Proportional to 15,414.77, 23,122.16 and 3,727.99

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Solution

The fourth proportional to 15,414.77, 23,122.16 and 3,727.99 is: 5,591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,414.77 : 23,122.16 = 3,727.99 : x
  2. Step 2: Convert to fraction form
    15,414.77/23,122.16 = 3,727.99/x
  3. Step 3: Cross multiply
    15,414.77x = 23,122.16 × 3,727.99
  4. Step 4: Simplify right side
    15,414.77x = 86,199,205.50
  5. Step 5: Solve for x
    x = 86,199,205.50/15,414.77
  6. Step 6: Final answer
    x = 5,591.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.