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Finding the Fourth Proportional to 22,358.10, 30,852.17 and 12,286.42

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Solution

The fourth proportional to 22,358.10, 30,852.17 and 12,286.42 is: 16,954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.10 : 30,852.17 = 12,286.42 : x
  2. Step 2: Convert to fraction form
    22,358.10/30,852.17 = 12,286.42/x
  3. Step 3: Cross multiply
    22,358.10x = 30,852.17 × 12,286.42
  4. Step 4: Simplify right side
    22,358.10x = 379,062,718.53
  5. Step 5: Solve for x
    x = 379,062,718.53/22,358.10
  6. Step 6: Final answer
    x = 16,954.16

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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.