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Finding the Fourth Proportional to 22,209.71, 33,323.79 and 9,723.30

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Solution

The fourth proportional to 22,209.71, 33,323.79 and 9,723.30 is: 14,588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,209.71 : 33,323.79 = 9,723.30 : x
  2. Step 2: Convert to fraction form
    22,209.71/33,323.79 = 9,723.30/x
  3. Step 3: Cross multiply
    22,209.71x = 33,323.79 × 9,723.30
  4. Step 4: Simplify right side
    22,209.71x = 324,017,207.31
  5. Step 5: Solve for x
    x = 324,017,207.31/22,209.71
  6. Step 6: Final answer
    x = 14,588.99

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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.