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Finding the Fourth Proportional to 22,121.38, 30,527.50 and 12,185.38

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Solution

The fourth proportional to 22,121.38, 30,527.50 and 12,185.38 is: 16,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,121.38 : 30,527.50 = 12,185.38 : x
  2. Step 2: Convert to fraction form
    22,121.38/30,527.50 = 12,185.38/x
  3. Step 3: Cross multiply
    22,121.38x = 30,527.50 × 12,185.38
  4. Step 4: Simplify right side
    22,121.38x = 371,989,035.31
  5. Step 5: Solve for x
    x = 371,989,035.31/22,121.38
  6. Step 6: Final answer
    x = 16,815.82

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Why These Related Problems?

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