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Finding the Fourth Proportional to 20,801.66, 31,214.79 and 7,663.28

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Solution

The fourth proportional to 20,801.66, 31,214.79 and 7,663.28 is: 11,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.66 : 31,214.79 = 7,663.28 : x
  2. Step 2: Convert to fraction form
    20,801.66/31,214.79 = 7,663.28/x
  3. Step 3: Cross multiply
    20,801.66x = 31,214.79 × 7,663.28
  4. Step 4: Simplify right side
    20,801.66x = 239,207,519.84
  5. Step 5: Solve for x
    x = 239,207,519.84/20,801.66
  6. Step 6: Final answer
    x = 11,499.45

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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.