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Finding the Fourth Proportional to 21,198.38, 31,798.17 and 5,616

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Solution

The fourth proportional to 21,198.38, 31,798.17 and 5,616 is: 8,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198.38 : 31,798.17 = 5,616 : x
  2. Step 2: Convert to fraction form
    21,198.38/31,798.17 = 5,616/x
  3. Step 3: Cross multiply
    21,198.38x = 31,798.17 × 5,616
  4. Step 4: Simplify right side
    21,198.38x = 178,578,522.72
  5. Step 5: Solve for x
    x = 178,578,522.72/21,198.38
  6. Step 6: Final answer
    x = 8,424.16

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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.