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Finding the Fourth Proportional to 15,195.60, 22,791.12 and 4,806

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Solution

The fourth proportional to 15,195.60, 22,791.12 and 4,806 is: 7,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,195.60 : 22,791.12 = 4,806 : x
  2. Step 2: Convert to fraction form
    15,195.60/22,791.12 = 4,806/x
  3. Step 3: Cross multiply
    15,195.60x = 22,791.12 × 4,806
  4. Step 4: Simplify right side
    15,195.60x = 109,534,122.72
  5. Step 5: Solve for x
    x = 109,534,122.72/15,195.60
  6. Step 6: Final answer
    x = 7,208.28

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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.