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Finding the Fourth Proportional to 16,102.18, 22,218.87 and 8,931.99

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Solution

The fourth proportional to 16,102.18, 22,218.87 and 8,931.99 is: 12,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.18 : 22,218.87 = 8,931.99 : x
  2. Step 2: Convert to fraction form
    16,102.18/22,218.87 = 8,931.99/x
  3. Step 3: Cross multiply
    16,102.18x = 22,218.87 × 8,931.99
  4. Step 4: Simplify right side
    16,102.18x = 198,458,724.65
  5. Step 5: Solve for x
    x = 198,458,724.65/16,102.18
  6. Step 6: Final answer
    x = 12,324.96

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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.