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Finding the Fourth Proportional to 24,100.49, 33,259.38 and 13,489.85

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Solution

The fourth proportional to 24,100.49, 33,259.38 and 13,489.85 is: 18,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,100.49 : 33,259.38 = 13,489.85 : x
  2. Step 2: Convert to fraction form
    24,100.49/33,259.38 = 13,489.85/x
  3. Step 3: Cross multiply
    24,100.49x = 33,259.38 × 13,489.85
  4. Step 4: Simplify right side
    24,100.49x = 448,664,047.29
  5. Step 5: Solve for x
    x = 448,664,047.29/24,100.49
  6. Step 6: Final answer
    x = 18,616.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.