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Finding the Fourth Proportional to 24,594.48, 33,940.80 and 13,416.48

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Solution

The fourth proportional to 24,594.48, 33,940.80 and 13,416.48 is: 18,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,594.48 : 33,940.80 = 13,416.48 : x
  2. Step 2: Convert to fraction form
    24,594.48/33,940.80 = 13,416.48/x
  3. Step 3: Cross multiply
    24,594.48x = 33,940.80 × 13,416.48
  4. Step 4: Simplify right side
    24,594.48x = 455,366,064.38
  5. Step 5: Solve for x
    x = 455,366,064.38/24,594.48
  6. Step 6: Final answer
    x = 18,514.97

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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.