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Finding the Fourth Proportional to 22,217.40, 33,326.70 and 9,731

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Solution

The fourth proportional to 22,217.40, 33,326.70 and 9,731 is: 14,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,217.40 : 33,326.70 = 9,731 : x
  2. Step 2: Convert to fraction form
    22,217.40/33,326.70 = 9,731/x
  3. Step 3: Cross multiply
    22,217.40x = 33,326.70 × 9,731
  4. Step 4: Simplify right side
    22,217.40x = 324,302,117.70
  5. Step 5: Solve for x
    x = 324,302,117.70/22,217.40
  6. Step 6: Final answer
    x = 14,596.76

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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.