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Finding the Fourth Proportional to 17,995.11, 24,833.43 and 10,446

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Solution

The fourth proportional to 17,995.11, 24,833.43 and 10,446 is: 14,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,995.11 : 24,833.43 = 10,446 : x
  2. Step 2: Convert to fraction form
    17,995.11/24,833.43 = 10,446/x
  3. Step 3: Cross multiply
    17,995.11x = 24,833.43 × 10,446
  4. Step 4: Simplify right side
    17,995.11x = 259,410,009.78
  5. Step 5: Solve for x
    x = 259,410,009.78/17,995.11
  6. Step 6: Final answer
    x = 14,415.58

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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.