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Finding the Fourth Proportional to 22,682.63, 34,001.78 and 10,205.80

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Solution

The fourth proportional to 22,682.63, 34,001.78 and 10,205.80 is: 15,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.63 : 34,001.78 = 10,205.80 : x
  2. Step 2: Convert to fraction form
    22,682.63/34,001.78 = 10,205.80/x
  3. Step 3: Cross multiply
    22,682.63x = 34,001.78 × 10,205.80
  4. Step 4: Simplify right side
    22,682.63x = 347,015,230.29
  5. Step 5: Solve for x
    x = 347,015,230.29/22,682.63
  6. Step 6: Final answer
    x = 15,298.72

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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.