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Finding the Fourth Proportional to 14,824.82, 20,458.74 and 8,451.30

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Solution

The fourth proportional to 14,824.82, 20,458.74 and 8,451.30 is: 11,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.82 : 20,458.74 = 8,451.30 : x
  2. Step 2: Convert to fraction form
    14,824.82/20,458.74 = 8,451.30/x
  3. Step 3: Cross multiply
    14,824.82x = 20,458.74 × 8,451.30
  4. Step 4: Simplify right side
    14,824.82x = 172,902,949.36
  5. Step 5: Solve for x
    x = 172,902,949.36/14,824.82
  6. Step 6: Final answer
    x = 11,663.07

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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.