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Finding the Fourth Proportional to 14,466.82, 19,964.64 and 8,093.24

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Solution

The fourth proportional to 14,466.82, 19,964.64 and 8,093.24 is: 11,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.82 : 19,964.64 = 8,093.24 : x
  2. Step 2: Convert to fraction form
    14,466.82/19,964.64 = 8,093.24/x
  3. Step 3: Cross multiply
    14,466.82x = 19,964.64 × 8,093.24
  4. Step 4: Simplify right side
    14,466.82x = 161,578,623.03
  5. Step 5: Solve for x
    x = 161,578,623.03/14,466.82
  6. Step 6: Final answer
    x = 11,168.91

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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.