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Finding the Fourth Proportional to 22,238, 30,689.40 and 12,302

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Solution

The fourth proportional to 22,238, 30,689.40 and 12,302 is: 16,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,238 : 30,689.40 = 12,302 : x
  2. Step 2: Convert to fraction form
    22,238/30,689.40 = 12,302/x
  3. Step 3: Cross multiply
    22,238x = 30,689.40 × 12,302
  4. Step 4: Simplify right side
    22,238x = 377,540,998.80
  5. Step 5: Solve for x
    x = 377,540,998.80/22,238
  6. Step 6: Final answer
    x = 16,977.29

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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.