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Finding the Fourth Proportional to 16,517.10, 22,791.48 and 9,444

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Solution

The fourth proportional to 16,517.10, 22,791.48 and 9,444 is: 13,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.10 : 22,791.48 = 9,444 : x
  2. Step 2: Convert to fraction form
    16,517.10/22,791.48 = 9,444/x
  3. Step 3: Cross multiply
    16,517.10x = 22,791.48 × 9,444
  4. Step 4: Simplify right side
    16,517.10x = 215,242,737.12
  5. Step 5: Solve for x
    x = 215,242,737.12/16,517.10
  6. Step 6: Final answer
    x = 13,031.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.