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Finding the Fourth Proportional to 17,716.38, 24,448.60 and 9,758.58

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Solution

The fourth proportional to 17,716.38, 24,448.60 and 9,758.58 is: 13,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.38 : 24,448.60 = 9,758.58 : x
  2. Step 2: Convert to fraction form
    17,716.38/24,448.60 = 9,758.58/x
  3. Step 3: Cross multiply
    17,716.38x = 24,448.60 × 9,758.58
  4. Step 4: Simplify right side
    17,716.38x = 238,583,472.35
  5. Step 5: Solve for x
    x = 238,583,472.35/17,716.38
  6. Step 6: Final answer
    x = 13,466.83

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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.