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Finding the Fourth Proportional to 22,222.80, 33,331.32 and 8,370

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Solution

The fourth proportional to 22,222.80, 33,331.32 and 8,370 is: 12,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,222.80 : 33,331.32 = 8,370 : x
  2. Step 2: Convert to fraction form
    22,222.80/33,331.32 = 8,370/x
  3. Step 3: Cross multiply
    22,222.80x = 33,331.32 × 8,370
  4. Step 4: Simplify right side
    22,222.80x = 278,983,148.40
  5. Step 5: Solve for x
    x = 278,983,148.40/22,222.80
  6. Step 6: Final answer
    x = 12,553.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.