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Finding the Fourth Proportional to 23,522.38, 35,279.92 and 6,878.50

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Solution

The fourth proportional to 23,522.38, 35,279.92 and 6,878.50 is: 10,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522.38 : 35,279.92 = 6,878.50 : x
  2. Step 2: Convert to fraction form
    23,522.38/35,279.92 = 6,878.50/x
  3. Step 3: Cross multiply
    23,522.38x = 35,279.92 × 6,878.50
  4. Step 4: Simplify right side
    23,522.38x = 242,672,850.12
  5. Step 5: Solve for x
    x = 242,672,850.12/23,522.38
  6. Step 6: Final answer
    x = 10,316.68

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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.