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Finding the Fourth Proportional to 16,317, 22,517.64 and 8,865

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Solution

The fourth proportional to 16,317, 22,517.64 and 8,865 is: 12,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,317 : 22,517.64 = 8,865 : x
  2. Step 2: Convert to fraction form
    16,317/22,517.64 = 8,865/x
  3. Step 3: Cross multiply
    16,317x = 22,517.64 × 8,865
  4. Step 4: Simplify right side
    16,317x = 199,618,878.60
  5. Step 5: Solve for x
    x = 199,618,878.60/16,317
  6. Step 6: Final answer
    x = 12,233.80

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Why These Related Problems?

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