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Finding the Fourth Proportional to 21,107.74, 31,663.28 and 7,067.84

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Solution

The fourth proportional to 21,107.74, 31,663.28 and 7,067.84 is: 10,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.74 : 31,663.28 = 7,067.84 : x
  2. Step 2: Convert to fraction form
    21,107.74/31,663.28 = 7,067.84/x
  3. Step 3: Cross multiply
    21,107.74x = 31,663.28 × 7,067.84
  4. Step 4: Simplify right side
    21,107.74x = 223,790,996.92
  5. Step 5: Solve for x
    x = 223,790,996.92/21,107.74
  6. Step 6: Final answer
    x = 10,602.32

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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.