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Finding the Fourth Proportional to 22,682.76, 34,022.28 and 14,338.44

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Solution

The fourth proportional to 22,682.76, 34,022.28 and 14,338.44 is: 21,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.76 : 34,022.28 = 14,338.44 : x
  2. Step 2: Convert to fraction form
    22,682.76/34,022.28 = 14,338.44/x
  3. Step 3: Cross multiply
    22,682.76x = 34,022.28 × 14,338.44
  4. Step 4: Simplify right side
    22,682.76x = 487,826,420.44
  5. Step 5: Solve for x
    x = 487,826,420.44/22,682.76
  6. Step 6: Final answer
    x = 21,506.48

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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.