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Finding the Fourth Proportional to 16,700.38, 23,046.87 and 9,147.03

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Solution

The fourth proportional to 16,700.38, 23,046.87 and 9,147.03 is: 12,623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700.38 : 23,046.87 = 9,147.03 : x
  2. Step 2: Convert to fraction form
    16,700.38/23,046.87 = 9,147.03/x
  3. Step 3: Cross multiply
    16,700.38x = 23,046.87 × 9,147.03
  4. Step 4: Simplify right side
    16,700.38x = 210,810,445.60
  5. Step 5: Solve for x
    x = 210,810,445.60/16,700.38
  6. Step 6: Final answer
    x = 12,623.09

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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.