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Finding the Fourth Proportional to 17,634.53, 24,334.09 and 10,079.36

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Solution

The fourth proportional to 17,634.53, 24,334.09 and 10,079.36 is: 13,908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.53 : 24,334.09 = 10,079.36 : x
  2. Step 2: Convert to fraction form
    17,634.53/24,334.09 = 10,079.36/x
  3. Step 3: Cross multiply
    17,634.53x = 24,334.09 × 10,079.36
  4. Step 4: Simplify right side
    17,634.53x = 245,272,053.38
  5. Step 5: Solve for x
    x = 245,272,053.38/17,634.53
  6. Step 6: Final answer
    x = 13,908.62

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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.