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Finding the Fourth Proportional to 39,520.59, 59,286.56 and 12,857.82

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Solution

The fourth proportional to 39,520.59, 59,286.56 and 12,857.82 is: 19,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,520.59 : 59,286.56 = 12,857.82 : x
  2. Step 2: Convert to fraction form
    39,520.59/59,286.56 = 12,857.82/x
  3. Step 3: Cross multiply
    39,520.59x = 59,286.56 × 12,857.82
  4. Step 4: Simplify right side
    39,520.59x = 762,295,852.61
  5. Step 5: Solve for x
    x = 762,295,852.61/39,520.59
  6. Step 6: Final answer
    x = 19,288.57

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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.