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Finding the Fourth Proportional to 27,822.56, 41,704.68 and 13,019

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Solution

The fourth proportional to 27,822.56, 41,704.68 and 13,019 is: 19,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.56 : 41,704.68 = 13,019 : x
  2. Step 2: Convert to fraction form
    27,822.56/41,704.68 = 13,019/x
  3. Step 3: Cross multiply
    27,822.56x = 41,704.68 × 13,019
  4. Step 4: Simplify right side
    27,822.56x = 542,953,228.92
  5. Step 5: Solve for x
    x = 542,953,228.92/27,822.56
  6. Step 6: Final answer
    x = 19,514.86

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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.