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Finding the Fourth Proportional to 15,056.38, 20,777.97 and 8,342.11

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Solution

The fourth proportional to 15,056.38, 20,777.97 and 8,342.11 is: 11,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,056.38 : 20,777.97 = 8,342.11 : x
  2. Step 2: Convert to fraction form
    15,056.38/20,777.97 = 8,342.11/x
  3. Step 3: Cross multiply
    15,056.38x = 20,777.97 × 8,342.11
  4. Step 4: Simplify right side
    15,056.38x = 173,332,106.01
  5. Step 5: Solve for x
    x = 173,332,106.01/15,056.38
  6. Step 6: Final answer
    x = 11,512.21

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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.