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Finding the Fourth Proportional to 15,021.92, 22,536.72 and 6,812

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Solution

The fourth proportional to 15,021.92, 22,536.72 and 6,812 is: 10,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,021.92 : 22,536.72 = 6,812 : x
  2. Step 2: Convert to fraction form
    15,021.92/22,536.72 = 6,812/x
  3. Step 3: Cross multiply
    15,021.92x = 22,536.72 × 6,812
  4. Step 4: Simplify right side
    15,021.92x = 153,520,136.64
  5. Step 5: Solve for x
    x = 153,520,136.64/15,021.92
  6. Step 6: Final answer
    x = 10,219.74

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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.