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Finding the Fourth Proportional to 27,514.42, 41,288.02 and 9,985.61

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Solution

The fourth proportional to 27,514.42, 41,288.02 and 9,985.61 is: 14,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,514.42 : 41,288.02 = 9,985.61 : x
  2. Step 2: Convert to fraction form
    27,514.42/41,288.02 = 9,985.61/x
  3. Step 3: Cross multiply
    27,514.42x = 41,288.02 × 9,985.61
  4. Step 4: Simplify right side
    27,514.42x = 412,286,193.58
  5. Step 5: Solve for x
    x = 412,286,193.58/27,514.42
  6. Step 6: Final answer
    x = 14,984.37

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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.