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Finding the Fourth Proportional to 22,468, 33,701.85 and 5,827.99

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Solution

The fourth proportional to 22,468, 33,701.85 and 5,827.99 is: 8,741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468 : 33,701.85 = 5,827.99 : x
  2. Step 2: Convert to fraction form
    22,468/33,701.85 = 5,827.99/x
  3. Step 3: Cross multiply
    22,468x = 33,701.85 × 5,827.99
  4. Step 4: Simplify right side
    22,468x = 196,414,044.78
  5. Step 5: Solve for x
    x = 196,414,044.78/22,468
  6. Step 6: Final answer
    x = 8,741.95

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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.