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Finding the Fourth Proportional to 22,493.76, 33,741.12 and 6,911.04

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Solution

The fourth proportional to 22,493.76, 33,741.12 and 6,911.04 is: 10,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.76 : 33,741.12 = 6,911.04 : x
  2. Step 2: Convert to fraction form
    22,493.76/33,741.12 = 6,911.04/x
  3. Step 3: Cross multiply
    22,493.76x = 33,741.12 × 6,911.04
  4. Step 4: Simplify right side
    22,493.76x = 233,186,229.96
  5. Step 5: Solve for x
    x = 233,186,229.96/22,493.76
  6. Step 6: Final answer
    x = 10,366.71

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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.