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Finding the Fourth Proportional to 22,797.47, 34,204.10 and 8,008.49

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Solution

The fourth proportional to 22,797.47, 34,204.10 and 8,008.49 is: 12,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,797.47 : 34,204.10 = 8,008.49 : x
  2. Step 2: Convert to fraction form
    22,797.47/34,204.10 = 8,008.49/x
  3. Step 3: Cross multiply
    22,797.47x = 34,204.10 × 8,008.49
  4. Step 4: Simplify right side
    22,797.47x = 273,922,981.75
  5. Step 5: Solve for x
    x = 273,922,981.75/22,797.47
  6. Step 6: Final answer
    x = 12,015.50

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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.