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Finding the Fourth Proportional to 22,940.48, 34,416 and 6,524.48

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Solution

The fourth proportional to 22,940.48, 34,416 and 6,524.48 is: 9,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,940.48 : 34,416 = 6,524.48 : x
  2. Step 2: Convert to fraction form
    22,940.48/34,416 = 6,524.48/x
  3. Step 3: Cross multiply
    22,940.48x = 34,416 × 6,524.48
  4. Step 4: Simplify right side
    22,940.48x = 224,546,503.68
  5. Step 5: Solve for x
    x = 224,546,503.68/22,940.48
  6. Step 6: Final answer
    x = 9,788.22

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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.