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Finding the Fourth Proportional to 16,099.65, 22,218.36 and 9,384.90

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Solution

The fourth proportional to 16,099.65, 22,218.36 and 9,384.90 is: 12,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.65 : 22,218.36 = 9,384.90 : x
  2. Step 2: Convert to fraction form
    16,099.65/22,218.36 = 9,384.90/x
  3. Step 3: Cross multiply
    16,099.65x = 22,218.36 × 9,384.90
  4. Step 4: Simplify right side
    16,099.65x = 208,517,086.76
  5. Step 5: Solve for x
    x = 208,517,086.76/16,099.65
  6. Step 6: Final answer
    x = 12,951.65

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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.