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Finding the Fourth Proportional to 22,684.26, 33,987.99 and 13,900.86

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Solution

The fourth proportional to 22,684.26, 33,987.99 and 13,900.86 is: 20,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.26 : 33,987.99 = 13,900.86 : x
  2. Step 2: Convert to fraction form
    22,684.26/33,987.99 = 13,900.86/x
  3. Step 3: Cross multiply
    22,684.26x = 33,987.99 × 13,900.86
  4. Step 4: Simplify right side
    22,684.26x = 472,462,290.67
  5. Step 5: Solve for x
    x = 472,462,290.67/22,684.26
  6. Step 6: Final answer
    x = 20,827.76

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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.