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Finding the Fourth Proportional to 27,772.32, 41,667.12 and 8,053.68

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Solution

The fourth proportional to 27,772.32, 41,667.12 and 8,053.68 is: 12,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.32 : 41,667.12 = 8,053.68 : x
  2. Step 2: Convert to fraction form
    27,772.32/41,667.12 = 8,053.68/x
  3. Step 3: Cross multiply
    27,772.32x = 41,667.12 × 8,053.68
  4. Step 4: Simplify right side
    27,772.32x = 335,573,651.00
  5. Step 5: Solve for x
    x = 335,573,651.00/27,772.32
  6. Step 6: Final answer
    x = 12,083.03

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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.