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Finding the Fourth Proportional to 22,442.91, 33,665.21 and 8,401.46

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Solution

The fourth proportional to 22,442.91, 33,665.21 and 8,401.46 is: 12,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,442.91 : 33,665.21 = 8,401.46 : x
  2. Step 2: Convert to fraction form
    22,442.91/33,665.21 = 8,401.46/x
  3. Step 3: Cross multiply
    22,442.91x = 33,665.21 × 8,401.46
  4. Step 4: Simplify right side
    22,442.91x = 282,836,852.05
  5. Step 5: Solve for x
    x = 282,836,852.05/22,442.91
  6. Step 6: Final answer
    x = 12,602.50

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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.