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Finding the Fourth Proportional to 31,284.67, 43,160.82 and 17,856.67

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Solution

The fourth proportional to 31,284.67, 43,160.82 and 17,856.67 is: 24,635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,284.67 : 43,160.82 = 17,856.67 : x
  2. Step 2: Convert to fraction form
    31,284.67/43,160.82 = 17,856.67/x
  3. Step 3: Cross multiply
    31,284.67x = 43,160.82 × 17,856.67
  4. Step 4: Simplify right side
    31,284.67x = 770,708,519.67
  5. Step 5: Solve for x
    x = 770,708,519.67/31,284.67
  6. Step 6: Final answer
    x = 24,635.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.