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Finding the Fourth Proportional to 17,573.20, 26,342.86 and 6,473.82

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Solution

The fourth proportional to 17,573.20, 26,342.86 and 6,473.82 is: 9,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,573.20 : 26,342.86 = 6,473.82 : x
  2. Step 2: Convert to fraction form
    17,573.20/26,342.86 = 6,473.82/x
  3. Step 3: Cross multiply
    17,573.20x = 26,342.86 × 6,473.82
  4. Step 4: Simplify right side
    17,573.20x = 170,538,933.93
  5. Step 5: Solve for x
    x = 170,538,933.93/17,573.20
  6. Step 6: Final answer
    x = 9,704.49

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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.