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Finding the Fourth Proportional to 22,623.72, 33,924.48 and 9,294.30

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Solution

The fourth proportional to 22,623.72, 33,924.48 and 9,294.30 is: 13,936.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,623.72 : 33,924.48 = 9,294.30 : x
  2. Step 2: Convert to fraction form
    22,623.72/33,924.48 = 9,294.30/x
  3. Step 3: Cross multiply
    22,623.72x = 33,924.48 × 9,294.30
  4. Step 4: Simplify right side
    22,623.72x = 315,304,294.46
  5. Step 5: Solve for x
    x = 315,304,294.46/22,623.72
  6. Step 6: Final answer
    x = 13,936.89

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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.