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Finding the Fourth Proportional to 17,471, 24,110.52 and 10,019

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Solution

The fourth proportional to 17,471, 24,110.52 and 10,019 is: 13,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471 : 24,110.52 = 10,019 : x
  2. Step 2: Convert to fraction form
    17,471/24,110.52 = 10,019/x
  3. Step 3: Cross multiply
    17,471x = 24,110.52 × 10,019
  4. Step 4: Simplify right side
    17,471x = 241,563,299.88
  5. Step 5: Solve for x
    x = 241,563,299.88/17,471
  6. Step 6: Final answer
    x = 13,826.53

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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.