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Finding the Fourth Proportional to 27,514.24, 41,265.90 and 13,468.24

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Solution

The fourth proportional to 27,514.24, 41,265.90 and 13,468.24 is: 20,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,514.24 : 41,265.90 = 13,468.24 : x
  2. Step 2: Convert to fraction form
    27,514.24/41,265.90 = 13,468.24/x
  3. Step 3: Cross multiply
    27,514.24x = 41,265.90 × 13,468.24
  4. Step 4: Simplify right side
    27,514.24x = 555,779,045.02
  5. Step 5: Solve for x
    x = 555,779,045.02/27,514.24
  6. Step 6: Final answer
    x = 20,199.69

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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.