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Finding the Fourth Proportional to 24,122.88, 33,290.16 and 13,514.80

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Solution

The fourth proportional to 24,122.88, 33,290.16 and 13,514.80 is: 18,650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,122.88 : 33,290.16 = 13,514.80 : x
  2. Step 2: Convert to fraction form
    24,122.88/33,290.16 = 13,514.80/x
  3. Step 3: Cross multiply
    24,122.88x = 33,290.16 × 13,514.80
  4. Step 4: Simplify right side
    24,122.88x = 449,909,854.37
  5. Step 5: Solve for x
    x = 449,909,854.37/24,122.88
  6. Step 6: Final answer
    x = 18,650.75

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