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Finding the Fourth Proportional to 22,218, 33,327.36 and 6,423.24

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Solution

The fourth proportional to 22,218, 33,327.36 and 6,423.24 is: 9,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,218 : 33,327.36 = 6,423.24 : x
  2. Step 2: Convert to fraction form
    22,218/33,327.36 = 6,423.24/x
  3. Step 3: Cross multiply
    22,218x = 33,327.36 × 6,423.24
  4. Step 4: Simplify right side
    22,218x = 214,069,631.85
  5. Step 5: Solve for x
    x = 214,069,631.85/22,218
  6. Step 6: Final answer
    x = 9,634.96

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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.