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Finding the Fourth Proportional to 20,910.68, 31,380.74 and 9,817.72

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Solution

The fourth proportional to 20,910.68, 31,380.74 and 9,817.72 is: 14,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,910.68 : 31,380.74 = 9,817.72 : x
  2. Step 2: Convert to fraction form
    20,910.68/31,380.74 = 9,817.72/x
  3. Step 3: Cross multiply
    20,910.68x = 31,380.74 × 9,817.72
  4. Step 4: Simplify right side
    20,910.68x = 308,087,318.71
  5. Step 5: Solve for x
    x = 308,087,318.71/20,910.68
  6. Step 6: Final answer
    x = 14,733.49

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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.