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Finding the Fourth Proportional to 21,098.64, 31,647.84 and 8,616

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Solution

The fourth proportional to 21,098.64, 31,647.84 and 8,616 is: 12,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098.64 : 31,647.84 = 8,616 : x
  2. Step 2: Convert to fraction form
    21,098.64/31,647.84 = 8,616/x
  3. Step 3: Cross multiply
    21,098.64x = 31,647.84 × 8,616
  4. Step 4: Simplify right side
    21,098.64x = 272,677,789.44
  5. Step 5: Solve for x
    x = 272,677,789.44/21,098.64
  6. Step 6: Final answer
    x = 12,923.95

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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.