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Finding the Fourth Proportional to 21,287.70, 31,932.99 and 6,497.82

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Solution

The fourth proportional to 21,287.70, 31,932.99 and 6,497.82 is: 9,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,287.70 : 31,932.99 = 6,497.82 : x
  2. Step 2: Convert to fraction form
    21,287.70/31,932.99 = 6,497.82/x
  3. Step 3: Cross multiply
    21,287.70x = 31,932.99 × 6,497.82
  4. Step 4: Simplify right side
    21,287.70x = 207,494,821.08
  5. Step 5: Solve for x
    x = 207,494,821.08/21,287.70
  6. Step 6: Final answer
    x = 9,747.17

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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.