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Finding the Fourth Proportional to 17,105.19, 23,610.78 and 10,031.46

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Solution

The fourth proportional to 17,105.19, 23,610.78 and 10,031.46 is: 13,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,105.19 : 23,610.78 = 10,031.46 : x
  2. Step 2: Convert to fraction form
    17,105.19/23,610.78 = 10,031.46/x
  3. Step 3: Cross multiply
    17,105.19x = 23,610.78 × 10,031.46
  4. Step 4: Simplify right side
    17,105.19x = 236,850,595.14
  5. Step 5: Solve for x
    x = 236,850,595.14/17,105.19
  6. Step 6: Final answer
    x = 13,846.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.