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Finding the Fourth Proportional to 27,514.68, 41,266.77 and 7,788.48

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Solution

The fourth proportional to 27,514.68, 41,266.77 and 7,788.48 is: 11,681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,514.68 : 41,266.77 = 7,788.48 : x
  2. Step 2: Convert to fraction form
    27,514.68/41,266.77 = 7,788.48/x
  3. Step 3: Cross multiply
    27,514.68x = 41,266.77 × 7,788.48
  4. Step 4: Simplify right side
    27,514.68x = 321,405,412.81
  5. Step 5: Solve for x
    x = 321,405,412.81/27,514.68
  6. Step 6: Final answer
    x = 11,681.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.