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Finding the Fourth Proportional to 22,641.72, 33,956.10 and 7,846.80

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Solution

The fourth proportional to 22,641.72, 33,956.10 and 7,846.80 is: 11,767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.72 : 33,956.10 = 7,846.80 : x
  2. Step 2: Convert to fraction form
    22,641.72/33,956.10 = 7,846.80/x
  3. Step 3: Cross multiply
    22,641.72x = 33,956.10 × 7,846.80
  4. Step 4: Simplify right side
    22,641.72x = 266,446,725.48
  5. Step 5: Solve for x
    x = 266,446,725.48/22,641.72
  6. Step 6: Final answer
    x = 11,767.95

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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.