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Finding the Fourth Proportional to 22,113.96, 30,517.38 and 12,684.84

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Solution

The fourth proportional to 22,113.96, 30,517.38 and 12,684.84 is: 17,505.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,113.96 : 30,517.38 = 12,684.84 : x
  2. Step 2: Convert to fraction form
    22,113.96/30,517.38 = 12,684.84/x
  3. Step 3: Cross multiply
    22,113.96x = 30,517.38 × 12,684.84
  4. Step 4: Simplify right side
    22,113.96x = 387,108,082.52
  5. Step 5: Solve for x
    x = 387,108,082.52/22,113.96
  6. Step 6: Final answer
    x = 17,505.15

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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.