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Finding the Fourth Proportional to 22,274.68, 33,407.84 and 11,178.39

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Solution

The fourth proportional to 22,274.68, 33,407.84 and 11,178.39 is: 16,765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.68 : 33,407.84 = 11,178.39 : x
  2. Step 2: Convert to fraction form
    22,274.68/33,407.84 = 11,178.39/x
  3. Step 3: Cross multiply
    22,274.68x = 33,407.84 × 11,178.39
  4. Step 4: Simplify right side
    22,274.68x = 373,445,864.58
  5. Step 5: Solve for x
    x = 373,445,864.58/22,274.68
  6. Step 6: Final answer
    x = 16,765.49

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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.