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Finding the Fourth Proportional to 15,194.16, 22,789.41 and 4,099.99

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Solution

The fourth proportional to 15,194.16, 22,789.41 and 4,099.99 is: 6,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.16 : 22,789.41 = 4,099.99 : x
  2. Step 2: Convert to fraction form
    15,194.16/22,789.41 = 4,099.99/x
  3. Step 3: Cross multiply
    15,194.16x = 22,789.41 × 4,099.99
  4. Step 4: Simplify right side
    15,194.16x = 93,436,353.11
  5. Step 5: Solve for x
    x = 93,436,353.11/15,194.16
  6. Step 6: Final answer
    x = 6,149.49

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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.