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Finding the Fourth Proportional to 12,803.01, 17,667.52 and 7,138.38

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Solution

The fourth proportional to 12,803.01, 17,667.52 and 7,138.38 is: 9,850.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.01 : 17,667.52 = 7,138.38 : x
  2. Step 2: Convert to fraction form
    12,803.01/17,667.52 = 7,138.38/x
  3. Step 3: Cross multiply
    12,803.01x = 17,667.52 × 7,138.38
  4. Step 4: Simplify right side
    12,803.01x = 126,117,471.42
  5. Step 5: Solve for x
    x = 126,117,471.42/12,803.01
  6. Step 6: Final answer
    x = 9,850.61

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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.