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Finding the Fourth Proportional to 27,814.42, 41,709.14 and 16,575.04

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Solution

The fourth proportional to 27,814.42, 41,709.14 and 16,575.04 is: 24,855.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.42 : 41,709.14 = 16,575.04 : x
  2. Step 2: Convert to fraction form
    27,814.42/41,709.14 = 16,575.04/x
  3. Step 3: Cross multiply
    27,814.42x = 41,709.14 × 16,575.04
  4. Step 4: Simplify right side
    27,814.42x = 691,330,663.87
  5. Step 5: Solve for x
    x = 691,330,663.87/27,814.42
  6. Step 6: Final answer
    x = 24,855.12

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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.