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Finding the Fourth Proportional to 22,227.12, 33,345.36 and 8,376

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Solution

The fourth proportional to 22,227.12, 33,345.36 and 8,376 is: 12,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,227.12 : 33,345.36 = 8,376 : x
  2. Step 2: Convert to fraction form
    22,227.12/33,345.36 = 8,376/x
  3. Step 3: Cross multiply
    22,227.12x = 33,345.36 × 8,376
  4. Step 4: Simplify right side
    22,227.12x = 279,300,735.36
  5. Step 5: Solve for x
    x = 279,300,735.36/22,227.12
  6. Step 6: Final answer
    x = 12,565.76

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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.