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Finding the Fourth Proportional to 22,214.88, 33,310.08 and 7,416

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Solution

The fourth proportional to 22,214.88, 33,310.08 and 7,416 is: 11,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,214.88 : 33,310.08 = 7,416 : x
  2. Step 2: Convert to fraction form
    22,214.88/33,310.08 = 7,416/x
  3. Step 3: Cross multiply
    22,214.88x = 33,310.08 × 7,416
  4. Step 4: Simplify right side
    22,214.88x = 247,027,553.28
  5. Step 5: Solve for x
    x = 247,027,553.28/22,214.88
  6. Step 6: Final answer
    x = 11,119.91

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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.