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Finding the Fourth Proportional to 14,824.22, 20,458.53 and 8,450.96

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Solution

The fourth proportional to 14,824.22, 20,458.53 and 8,450.96 is: 11,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.22 : 20,458.53 = 8,450.96 : x
  2. Step 2: Convert to fraction form
    14,824.22/20,458.53 = 8,450.96/x
  3. Step 3: Cross multiply
    14,824.22x = 20,458.53 × 8,450.96
  4. Step 4: Simplify right side
    14,824.22x = 172,894,301.53
  5. Step 5: Solve for x
    x = 172,894,301.53/14,824.22
  6. Step 6: Final answer
    x = 11,662.96

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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.