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Finding the Fourth Proportional to 22,554, 33,831.12 and 6,138

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Solution

The fourth proportional to 22,554, 33,831.12 and 6,138 is: 9,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,554 : 33,831.12 = 6,138 : x
  2. Step 2: Convert to fraction form
    22,554/33,831.12 = 6,138/x
  3. Step 3: Cross multiply
    22,554x = 33,831.12 × 6,138
  4. Step 4: Simplify right side
    22,554x = 207,655,414.56
  5. Step 5: Solve for x
    x = 207,655,414.56/22,554
  6. Step 6: Final answer
    x = 9,207.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.