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Finding the Fourth Proportional to 22,639.80, 33,894 and 13,847.88

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Solution

The fourth proportional to 22,639.80, 33,894 and 13,847.88 is: 20,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,639.80 : 33,894 = 13,847.88 : x
  2. Step 2: Convert to fraction form
    22,639.80/33,894 = 13,847.88/x
  3. Step 3: Cross multiply
    22,639.80x = 33,894 × 13,847.88
  4. Step 4: Simplify right side
    22,639.80x = 469,360,044.72
  5. Step 5: Solve for x
    x = 469,360,044.72/22,639.80
  6. Step 6: Final answer
    x = 20,731.63

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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.