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Finding the Fourth Proportional to 17,466.14, 24,103.36 and 9,508.44

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Solution

The fourth proportional to 17,466.14, 24,103.36 and 9,508.44 is: 13,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,466.14 : 24,103.36 = 9,508.44 : x
  2. Step 2: Convert to fraction form
    17,466.14/24,103.36 = 9,508.44/x
  3. Step 3: Cross multiply
    17,466.14x = 24,103.36 × 9,508.44
  4. Step 4: Simplify right side
    17,466.14x = 229,185,352.36
  5. Step 5: Solve for x
    x = 229,185,352.36/17,466.14
  6. Step 6: Final answer
    x = 13,121.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.