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Finding the Fourth Proportional to 22,514.40, 33,739.20 and 10,024.20

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Solution

The fourth proportional to 22,514.40, 33,739.20 and 10,024.20 is: 15,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.40 : 33,739.20 = 10,024.20 : x
  2. Step 2: Convert to fraction form
    22,514.40/33,739.20 = 10,024.20/x
  3. Step 3: Cross multiply
    22,514.40x = 33,739.20 × 10,024.20
  4. Step 4: Simplify right side
    22,514.40x = 338,208,488.64
  5. Step 5: Solve for x
    x = 338,208,488.64/22,514.40
  6. Step 6: Final answer
    x = 15,021.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.