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Finding the Fourth Proportional to 20,809.67, 31,214.48 and 5,227.29

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Solution

The fourth proportional to 20,809.67, 31,214.48 and 5,227.29 is: 7,840.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.67 : 31,214.48 = 5,227.29 : x
  2. Step 2: Convert to fraction form
    20,809.67/31,214.48 = 5,227.29/x
  3. Step 3: Cross multiply
    20,809.67x = 31,214.48 × 5,227.29
  4. Step 4: Simplify right side
    20,809.67x = 163,167,113.02
  5. Step 5: Solve for x
    x = 163,167,113.02/20,809.67
  6. Step 6: Final answer
    x = 7,840.93

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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.