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Finding the Fourth Proportional to 20,801.74, 31,214.94 and 7,663.33

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Solution

The fourth proportional to 20,801.74, 31,214.94 and 7,663.33 is: 11,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.74 : 31,214.94 = 7,663.33 : x
  2. Step 2: Convert to fraction form
    20,801.74/31,214.94 = 7,663.33/x
  3. Step 3: Cross multiply
    20,801.74x = 31,214.94 × 7,663.33
  4. Step 4: Simplify right side
    20,801.74x = 239,210,386.15
  5. Step 5: Solve for x
    x = 239,210,386.15/20,801.74
  6. Step 6: Final answer
    x = 11,499.54

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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.