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Finding the Fourth Proportional to 27,393.88, 41,106.48 and 11,597.80

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Solution

The fourth proportional to 27,393.88, 41,106.48 and 11,597.80 is: 17,403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,393.88 : 41,106.48 = 11,597.80 : x
  2. Step 2: Convert to fraction form
    27,393.88/41,106.48 = 11,597.80/x
  3. Step 3: Cross multiply
    27,393.88x = 41,106.48 × 11,597.80
  4. Step 4: Simplify right side
    27,393.88x = 476,744,733.74
  5. Step 5: Solve for x
    x = 476,744,733.74/27,393.88
  6. Step 6: Final answer
    x = 17,403.33

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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.