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Finding the Fourth Proportional to 21,285, 31,927.52 and 6,693

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Solution

The fourth proportional to 21,285, 31,927.52 and 6,693 is: 10,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,285 : 31,927.52 = 6,693 : x
  2. Step 2: Convert to fraction form
    21,285/31,927.52 = 6,693/x
  3. Step 3: Cross multiply
    21,285x = 31,927.52 × 6,693
  4. Step 4: Simplify right side
    21,285x = 213,690,891.36
  5. Step 5: Solve for x
    x = 213,690,891.36/21,285
  6. Step 6: Final answer
    x = 10,039.51

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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.