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Finding the Fourth Proportional to 20,883.42, 31,316.63 and 9,793.71

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Solution

The fourth proportional to 20,883.42, 31,316.63 and 9,793.71 is: 14,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883.42 : 31,316.63 = 9,793.71 : x
  2. Step 2: Convert to fraction form
    20,883.42/31,316.63 = 9,793.71/x
  3. Step 3: Cross multiply
    20,883.42x = 31,316.63 × 9,793.71
  4. Step 4: Simplify right side
    20,883.42x = 306,705,943.43
  5. Step 5: Solve for x
    x = 306,705,943.43/20,883.42
  6. Step 6: Final answer
    x = 14,686.58

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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.