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Finding the Fourth Proportional to 16,087.84, 22,201.82 and 9,014

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Solution

The fourth proportional to 16,087.84, 22,201.82 and 9,014 is: 12,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,087.84 : 22,201.82 = 9,014 : x
  2. Step 2: Convert to fraction form
    16,087.84/22,201.82 = 9,014/x
  3. Step 3: Cross multiply
    16,087.84x = 22,201.82 × 9,014
  4. Step 4: Simplify right side
    16,087.84x = 200,127,205.48
  5. Step 5: Solve for x
    x = 200,127,205.48/16,087.84
  6. Step 6: Final answer
    x = 12,439.66

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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.