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Finding the Fourth Proportional to 16,791.30, 23,172.08 and 9,238.14

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Solution

The fourth proportional to 16,791.30, 23,172.08 and 9,238.14 is: 12,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,791.30 : 23,172.08 = 9,238.14 : x
  2. Step 2: Convert to fraction form
    16,791.30/23,172.08 = 9,238.14/x
  3. Step 3: Cross multiply
    16,791.30x = 23,172.08 × 9,238.14
  4. Step 4: Simplify right side
    16,791.30x = 214,066,872.94
  5. Step 5: Solve for x
    x = 214,066,872.94/16,791.30
  6. Step 6: Final answer
    x = 12,748.68

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1.5x scale

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.