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Finding the Fourth Proportional to 22,230.17, 30,677.20 and 12,158.58

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Solution

The fourth proportional to 22,230.17, 30,677.20 and 12,158.58 is: 16,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,230.17 : 30,677.20 = 12,158.58 : x
  2. Step 2: Convert to fraction form
    22,230.17/30,677.20 = 12,158.58/x
  3. Step 3: Cross multiply
    22,230.17x = 30,677.20 × 12,158.58
  4. Step 4: Simplify right side
    22,230.17x = 372,991,190.38
  5. Step 5: Solve for x
    x = 372,991,190.38/22,230.17
  6. Step 6: Final answer
    x = 16,778.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.