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Finding the Fourth Proportional to 20,967.85, 31,214.03 and 20,856.97

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Solution

The fourth proportional to 20,967.85, 31,214.03 and 20,856.97 is: 31,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,967.85 : 31,214.03 = 20,856.97 : x
  2. Step 2: Convert to fraction form
    20,967.85/31,214.03 = 20,856.97/x
  3. Step 3: Cross multiply
    20,967.85x = 31,214.03 × 20,856.97
  4. Step 4: Simplify right side
    20,967.85x = 651,030,087.29
  5. Step 5: Solve for x
    x = 651,030,087.29/20,967.85
  6. Step 6: Final answer
    x = 31,048.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.