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Finding the Fourth Proportional to 17,249.12, 23,804 and 10,443.05

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Solution

The fourth proportional to 17,249.12, 23,804 and 10,443.05 is: 14,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,249.12 : 23,804 = 10,443.05 : x
  2. Step 2: Convert to fraction form
    17,249.12/23,804 = 10,443.05/x
  3. Step 3: Cross multiply
    17,249.12x = 23,804 × 10,443.05
  4. Step 4: Simplify right side
    17,249.12x = 248,586,362.20
  5. Step 5: Solve for x
    x = 248,586,362.20/17,249.12
  6. Step 6: Final answer
    x = 14,411.54

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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.