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Finding the Fourth Proportional to 22,408.24, 30,870.24 and 15,682

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Solution

The fourth proportional to 22,408.24, 30,870.24 and 15,682 is: 21,603.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.24 : 30,870.24 = 15,682 : x
  2. Step 2: Convert to fraction form
    22,408.24/30,870.24 = 15,682/x
  3. Step 3: Cross multiply
    22,408.24x = 30,870.24 × 15,682
  4. Step 4: Simplify right side
    22,408.24x = 484,107,103.68
  5. Step 5: Solve for x
    x = 484,107,103.68/22,408.24
  6. Step 6: Final answer
    x = 21,603.98

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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.