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Finding the Fourth Proportional to 27,055.88, 40,583.82 and 13,193

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Solution

The fourth proportional to 27,055.88, 40,583.82 and 13,193 is: 19,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,055.88 : 40,583.82 = 13,193 : x
  2. Step 2: Convert to fraction form
    27,055.88/40,583.82 = 13,193/x
  3. Step 3: Cross multiply
    27,055.88x = 40,583.82 × 13,193
  4. Step 4: Simplify right side
    27,055.88x = 535,422,337.26
  5. Step 5: Solve for x
    x = 535,422,337.26/27,055.88
  6. Step 6: Final answer
    x = 19,789.50

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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.