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Finding the Fourth Proportional to 24,244, 36,366.06 and 7,828

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Solution

The fourth proportional to 24,244, 36,366.06 and 7,828 is: 11,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,244 : 36,366.06 = 7,828 : x
  2. Step 2: Convert to fraction form
    24,244/36,366.06 = 7,828/x
  3. Step 3: Cross multiply
    24,244x = 36,366.06 × 7,828
  4. Step 4: Simplify right side
    24,244x = 284,673,517.68
  5. Step 5: Solve for x
    x = 284,673,517.68/24,244
  6. Step 6: Final answer
    x = 11,742.02

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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.