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Finding the Fourth Proportional to 22,464.84, 33,771.12 and 20,841

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Solution

The fourth proportional to 22,464.84, 33,771.12 and 20,841 is: 31,330.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464.84 : 33,771.12 = 20,841 : x
  2. Step 2: Convert to fraction form
    22,464.84/33,771.12 = 20,841/x
  3. Step 3: Cross multiply
    22,464.84x = 33,771.12 × 20,841
  4. Step 4: Simplify right side
    22,464.84x = 703,823,911.92
  5. Step 5: Solve for x
    x = 703,823,911.92/22,464.84
  6. Step 6: Final answer
    x = 31,330.02

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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.