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Finding the Fourth Proportional to 22,641.04, 33,953.16 and 7,846

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Solution

The fourth proportional to 22,641.04, 33,953.16 and 7,846 is: 11,766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.04 : 33,953.16 = 7,846 : x
  2. Step 2: Convert to fraction form
    22,641.04/33,953.16 = 7,846/x
  3. Step 3: Cross multiply
    22,641.04x = 33,953.16 × 7,846
  4. Step 4: Simplify right side
    22,641.04x = 266,396,493.36
  5. Step 5: Solve for x
    x = 266,396,493.36/22,641.04
  6. Step 6: Final answer
    x = 11,766.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.