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Finding the Fourth Proportional to 22,474.90, 33,719.06 and 6,680.46

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Solution

The fourth proportional to 22,474.90, 33,719.06 and 6,680.46 is: 10,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474.90 : 33,719.06 = 6,680.46 : x
  2. Step 2: Convert to fraction form
    22,474.90/33,719.06 = 6,680.46/x
  3. Step 3: Cross multiply
    22,474.90x = 33,719.06 × 6,680.46
  4. Step 4: Simplify right side
    22,474.90x = 225,258,831.57
  5. Step 5: Solve for x
    x = 225,258,831.57/22,474.90
  6. Step 6: Final answer
    x = 10,022.68

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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.