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Finding the Fourth Proportional to 22,904.74, 34,372.50 and 8,113.60

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Solution

The fourth proportional to 22,904.74, 34,372.50 and 8,113.60 is: 12,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,904.74 : 34,372.50 = 8,113.60 : x
  2. Step 2: Convert to fraction form
    22,904.74/34,372.50 = 8,113.60/x
  3. Step 3: Cross multiply
    22,904.74x = 34,372.50 × 8,113.60
  4. Step 4: Simplify right side
    22,904.74x = 278,884,716
  5. Step 5: Solve for x
    x = 278,884,716/22,904.74
  6. Step 6: Final answer
    x = 12,175.85

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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.