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Finding the Fourth Proportional to 20,722.47, 31,088.57 and 8,243.21

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Solution

The fourth proportional to 20,722.47, 31,088.57 and 8,243.21 is: 12,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,722.47 : 31,088.57 = 8,243.21 : x
  2. Step 2: Convert to fraction form
    20,722.47/31,088.57 = 8,243.21/x
  3. Step 3: Cross multiply
    20,722.47x = 31,088.57 × 8,243.21
  4. Step 4: Simplify right side
    20,722.47x = 256,269,424.75
  5. Step 5: Solve for x
    x = 256,269,424.75/20,722.47
  6. Step 6: Final answer
    x = 12,366.74

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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.