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Finding the Fourth Proportional to 16,013.82, 22,098.87 and 8,940.30

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Solution

The fourth proportional to 16,013.82, 22,098.87 and 8,940.30 is: 12,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.82 : 22,098.87 = 8,940.30 : x
  2. Step 2: Convert to fraction form
    16,013.82/22,098.87 = 8,940.30/x
  3. Step 3: Cross multiply
    16,013.82x = 22,098.87 × 8,940.30
  4. Step 4: Simplify right side
    16,013.82x = 197,570,527.46
  5. Step 5: Solve for x
    x = 197,570,527.46/16,013.82
  6. Step 6: Final answer
    x = 12,337.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.