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Finding the Fourth Proportional to 22,402.26, 33,579.95 and 8,356.64

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Solution

The fourth proportional to 22,402.26, 33,579.95 and 8,356.64 is: 12,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,402.26 : 33,579.95 = 8,356.64 : x
  2. Step 2: Convert to fraction form
    22,402.26/33,579.95 = 8,356.64/x
  3. Step 3: Cross multiply
    22,402.26x = 33,579.95 × 8,356.64
  4. Step 4: Simplify right side
    22,402.26x = 280,615,343.69
  5. Step 5: Solve for x
    x = 280,615,343.69/22,402.26
  6. Step 6: Final answer
    x = 12,526.21

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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.