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Finding the Fourth Proportional to 14,802.72, 22,168.64 and 8,212.56

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Solution

The fourth proportional to 14,802.72, 22,168.64 and 8,212.56 is: 12,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.72 : 22,168.64 = 8,212.56 : x
  2. Step 2: Convert to fraction form
    14,802.72/22,168.64 = 8,212.56/x
  3. Step 3: Cross multiply
    14,802.72x = 22,168.64 × 8,212.56
  4. Step 4: Simplify right side
    14,802.72x = 182,061,286.12
  5. Step 5: Solve for x
    x = 182,061,286.12/14,802.72
  6. Step 6: Final answer
    x = 12,299.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.