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Finding the Fourth Proportional to 16,138.02, 22,270.38 and 9,064.44

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Solution

The fourth proportional to 16,138.02, 22,270.38 and 9,064.44 is: 12,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.02 : 22,270.38 = 9,064.44 : x
  2. Step 2: Convert to fraction form
    16,138.02/22,270.38 = 9,064.44/x
  3. Step 3: Cross multiply
    16,138.02x = 22,270.38 × 9,064.44
  4. Step 4: Simplify right side
    16,138.02x = 201,868,523.29
  5. Step 5: Solve for x
    x = 201,868,523.29/16,138.02
  6. Step 6: Final answer
    x = 12,508.88

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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.