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Finding the Fourth Proportional to 27,205.27, 40,783.25 and 9,671.00

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Solution

The fourth proportional to 27,205.27, 40,783.25 and 9,671.00 is: 14,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,205.27 : 40,783.25 = 9,671.00 : x
  2. Step 2: Convert to fraction form
    27,205.27/40,783.25 = 9,671.00/x
  3. Step 3: Cross multiply
    27,205.27x = 40,783.25 × 9,671.00
  4. Step 4: Simplify right side
    27,205.27x = 394,414,631.01
  5. Step 5: Solve for x
    x = 394,414,631.01/27,205.27
  6. Step 6: Final answer
    x = 14,497.73

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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.