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Finding the Fourth Proportional to 24,594.39, 33,940.65 and 13,416.39

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Solution

The fourth proportional to 24,594.39, 33,940.65 and 13,416.39 is: 18,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,594.39 : 33,940.65 = 13,416.39 : x
  2. Step 2: Convert to fraction form
    24,594.39/33,940.65 = 13,416.39/x
  3. Step 3: Cross multiply
    24,594.39x = 33,940.65 × 13,416.39
  4. Step 4: Simplify right side
    24,594.39x = 455,360,997.25
  5. Step 5: Solve for x
    x = 455,360,997.25/24,594.39
  6. Step 6: Final answer
    x = 18,514.83

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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.