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Finding the Fourth Proportional to 21,141.58, 31,717.22 and 6,350.78

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Solution

The fourth proportional to 21,141.58, 31,717.22 and 6,350.78 is: 9,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141.58 : 31,717.22 = 6,350.78 : x
  2. Step 2: Convert to fraction form
    21,141.58/31,717.22 = 6,350.78/x
  3. Step 3: Cross multiply
    21,141.58x = 31,717.22 × 6,350.78
  4. Step 4: Simplify right side
    21,141.58x = 201,429,086.43
  5. Step 5: Solve for x
    x = 201,429,086.43/21,141.58
  6. Step 6: Final answer
    x = 9,527.63

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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.