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Finding the Fourth Proportional to 15,197.84, 22,800.12 and 5,837.85

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Solution

The fourth proportional to 15,197.84, 22,800.12 and 5,837.85 is: 8,758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.84 : 22,800.12 = 5,837.85 : x
  2. Step 2: Convert to fraction form
    15,197.84/22,800.12 = 5,837.85/x
  3. Step 3: Cross multiply
    15,197.84x = 22,800.12 × 5,837.85
  4. Step 4: Simplify right side
    15,197.84x = 133,103,680.54
  5. Step 5: Solve for x
    x = 133,103,680.54/15,197.84
  6. Step 6: Final answer
    x = 8,758.07

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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.