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Finding the Fourth Proportional to 22,800.40, 34,197.18 and 7,216

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Solution

The fourth proportional to 22,800.40, 34,197.18 and 7,216 is: 10,822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,800.40 : 34,197.18 = 7,216 : x
  2. Step 2: Convert to fraction form
    22,800.40/34,197.18 = 7,216/x
  3. Step 3: Cross multiply
    22,800.40x = 34,197.18 × 7,216
  4. Step 4: Simplify right side
    22,800.40x = 246,766,850.88
  5. Step 5: Solve for x
    x = 246,766,850.88/22,800.40
  6. Step 6: Final answer
    x = 10,822.92

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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.