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Finding the Fourth Proportional to 22,209.40, 33,314.70 and 9,722.98

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Solution

The fourth proportional to 22,209.40, 33,314.70 and 9,722.98 is: 14,584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,209.40 : 33,314.70 = 9,722.98 : x
  2. Step 2: Convert to fraction form
    22,209.40/33,314.70 = 9,722.98/x
  3. Step 3: Cross multiply
    22,209.40x = 33,314.70 × 9,722.98
  4. Step 4: Simplify right side
    22,209.40x = 323,918,161.81
  5. Step 5: Solve for x
    x = 323,918,161.81/22,209.40
  6. Step 6: Final answer
    x = 14,584.73

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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.