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Finding the Fourth Proportional to 16,013.84, 22,099.03 and 9,299.75

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Solution

The fourth proportional to 16,013.84, 22,099.03 and 9,299.75 is: 12,833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.84 : 22,099.03 = 9,299.75 : x
  2. Step 2: Convert to fraction form
    16,013.84/22,099.03 = 9,299.75/x
  3. Step 3: Cross multiply
    16,013.84x = 22,099.03 × 9,299.75
  4. Step 4: Simplify right side
    16,013.84x = 205,515,320.50
  5. Step 5: Solve for x
    x = 205,515,320.50/16,013.84
  6. Step 6: Final answer
    x = 12,833.61

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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.