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Finding the Fourth Proportional to 27,044.82, 40,565.88 and 9,514.80

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Solution

The fourth proportional to 27,044.82, 40,565.88 and 9,514.80 is: 14,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,044.82 : 40,565.88 = 9,514.80 : x
  2. Step 2: Convert to fraction form
    27,044.82/40,565.88 = 9,514.80/x
  3. Step 3: Cross multiply
    27,044.82x = 40,565.88 × 9,514.80
  4. Step 4: Simplify right side
    27,044.82x = 385,976,235.02
  5. Step 5: Solve for x
    x = 385,976,235.02/27,044.82
  6. Step 6: Final answer
    x = 14,271.73

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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.