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Finding the Fourth Proportional to 20,688.72, 31,040.57 and 12,782

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Solution

The fourth proportional to 20,688.72, 31,040.57 and 12,782 is: 19,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,688.72 : 31,040.57 = 12,782 : x
  2. Step 2: Convert to fraction form
    20,688.72/31,040.57 = 12,782/x
  3. Step 3: Cross multiply
    20,688.72x = 31,040.57 × 12,782
  4. Step 4: Simplify right side
    20,688.72x = 396,760,565.74
  5. Step 5: Solve for x
    x = 396,760,565.74/20,688.72
  6. Step 6: Final answer
    x = 19,177.63

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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.