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Finding the Fourth Proportional to 22,791.60, 34,191 and 9,644.04

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Solution

The fourth proportional to 22,791.60, 34,191 and 9,644.04 is: 14,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,791.60 : 34,191 = 9,644.04 : x
  2. Step 2: Convert to fraction form
    22,791.60/34,191 = 9,644.04/x
  3. Step 3: Cross multiply
    22,791.60x = 34,191 × 9,644.04
  4. Step 4: Simplify right side
    22,791.60x = 329,739,371.64
  5. Step 5: Solve for x
    x = 329,739,371.64/22,791.60
  6. Step 6: Final answer
    x = 14,467.58

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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.