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Finding the Fourth Proportional to 17,860, 26,791.44 and 5,548

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Solution

The fourth proportional to 17,860, 26,791.44 and 5,548 is: 8,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,860 : 26,791.44 = 5,548 : x
  2. Step 2: Convert to fraction form
    17,860/26,791.44 = 5,548/x
  3. Step 3: Cross multiply
    17,860x = 26,791.44 × 5,548
  4. Step 4: Simplify right side
    17,860x = 148,638,909.12
  5. Step 5: Solve for x
    x = 148,638,909.12/17,860
  6. Step 6: Final answer
    x = 8,322.45

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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.