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Finding the Fourth Proportional to 22,524.08, 33,783.72 and 6,940

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Solution

The fourth proportional to 22,524.08, 33,783.72 and 6,940 is: 10,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.08 : 33,783.72 = 6,940 : x
  2. Step 2: Convert to fraction form
    22,524.08/33,783.72 = 6,940/x
  3. Step 3: Cross multiply
    22,524.08x = 33,783.72 × 6,940
  4. Step 4: Simplify right side
    22,524.08x = 234,459,016.80
  5. Step 5: Solve for x
    x = 234,459,016.80/22,524.08
  6. Step 6: Final answer
    x = 10,409.26

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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.