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Finding the Fourth Proportional to 17,563.92, 24,238.58 and 9,606.66

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Solution

The fourth proportional to 17,563.92, 24,238.58 and 9,606.66 is: 13,257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,563.92 : 24,238.58 = 9,606.66 : x
  2. Step 2: Convert to fraction form
    17,563.92/24,238.58 = 9,606.66/x
  3. Step 3: Cross multiply
    17,563.92x = 24,238.58 × 9,606.66
  4. Step 4: Simplify right side
    17,563.92x = 232,851,796.94
  5. Step 5: Solve for x
    x = 232,851,796.94/17,563.92
  6. Step 6: Final answer
    x = 13,257.39

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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.