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Finding the Fourth Proportional to 21,253.42, 31,883.77 and 6,463.83

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Solution

The fourth proportional to 21,253.42, 31,883.77 and 6,463.83 is: 9,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.42 : 31,883.77 = 6,463.83 : x
  2. Step 2: Convert to fraction form
    21,253.42/31,883.77 = 6,463.83/x
  3. Step 3: Cross multiply
    21,253.42x = 31,883.77 × 6,463.83
  4. Step 4: Simplify right side
    21,253.42x = 206,091,269.04
  5. Step 5: Solve for x
    x = 206,091,269.04/21,253.42
  6. Step 6: Final answer
    x = 9,696.85

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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.