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Finding the Fourth Proportional to 24,264.49, 36,375.07 and 9,469.96

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Solution

The fourth proportional to 24,264.49, 36,375.07 and 9,469.96 is: 14,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,264.49 : 36,375.07 = 9,469.96 : x
  2. Step 2: Convert to fraction form
    24,264.49/36,375.07 = 9,469.96/x
  3. Step 3: Cross multiply
    24,264.49x = 36,375.07 × 9,469.96
  4. Step 4: Simplify right side
    24,264.49x = 344,470,457.90
  5. Step 5: Solve for x
    x = 344,470,457.90/24,264.49
  6. Step 6: Final answer
    x = 14,196.48

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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.