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Finding the Fourth Proportional to 24,108.25, 33,269.01 and 13,498.26

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Solution

The fourth proportional to 24,108.25, 33,269.01 and 13,498.26 is: 18,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,108.25 : 33,269.01 = 13,498.26 : x
  2. Step 2: Convert to fraction form
    24,108.25/33,269.01 = 13,498.26/x
  3. Step 3: Cross multiply
    24,108.25x = 33,269.01 × 13,498.26
  4. Step 4: Simplify right side
    24,108.25x = 449,073,746.92
  5. Step 5: Solve for x
    x = 449,073,746.92/24,108.25
  6. Step 6: Final answer
    x = 18,627.39

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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.