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Finding the Fourth Proportional to 22,442.66, 33,664.84 and 8,401.21

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Solution

The fourth proportional to 22,442.66, 33,664.84 and 8,401.21 is: 12,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,442.66 : 33,664.84 = 8,401.21 : x
  2. Step 2: Convert to fraction form
    22,442.66/33,664.84 = 8,401.21/x
  3. Step 3: Cross multiply
    22,442.66x = 33,664.84 × 8,401.21
  4. Step 4: Simplify right side
    22,442.66x = 282,825,285.29
  5. Step 5: Solve for x
    x = 282,825,285.29/22,442.66
  6. Step 6: Final answer
    x = 12,602.13

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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.