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Finding the Fourth Proportional to 17,476.97, 24,118.10 and 9,519.17

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Solution

The fourth proportional to 17,476.97, 24,118.10 and 9,519.17 is: 13,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,476.97 : 24,118.10 = 9,519.17 : x
  2. Step 2: Convert to fraction form
    17,476.97/24,118.10 = 9,519.17/x
  3. Step 3: Cross multiply
    17,476.97x = 24,118.10 × 9,519.17
  4. Step 4: Simplify right side
    17,476.97x = 229,584,246.38
  5. Step 5: Solve for x
    x = 229,584,246.38/17,476.97
  6. Step 6: Final answer
    x = 13,136.39

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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.