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Finding the Fourth Proportional to 20,514.57, 30,836.09 and 13,539.41

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Solution

The fourth proportional to 20,514.57, 30,836.09 and 13,539.41 is: 20,351.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514.57 : 30,836.09 = 13,539.41 : x
  2. Step 2: Convert to fraction form
    20,514.57/30,836.09 = 13,539.41/x
  3. Step 3: Cross multiply
    20,514.57x = 30,836.09 × 13,539.41
  4. Step 4: Simplify right side
    20,514.57x = 417,502,397.61
  5. Step 5: Solve for x
    x = 417,502,397.61/20,514.57
  6. Step 6: Final answer
    x = 20,351.51

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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.