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Finding the Fourth Proportional to 21,757.24, 30,029.82 and 12,331

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Solution

The fourth proportional to 21,757.24, 30,029.82 and 12,331 is: 17,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,757.24 : 30,029.82 = 12,331 : x
  2. Step 2: Convert to fraction form
    21,757.24/30,029.82 = 12,331/x
  3. Step 3: Cross multiply
    21,757.24x = 30,029.82 × 12,331
  4. Step 4: Simplify right side
    21,757.24x = 370,297,710.42
  5. Step 5: Solve for x
    x = 370,297,710.42/21,757.24
  6. Step 6: Final answer
    x = 17,019.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.