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Finding the Fourth Proportional to 20,362.05, 30,543.89 and 9,685.85

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Solution

The fourth proportional to 20,362.05, 30,543.89 and 9,685.85 is: 14,529.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,362.05 : 30,543.89 = 9,685.85 : x
  2. Step 2: Convert to fraction form
    20,362.05/30,543.89 = 9,685.85/x
  3. Step 3: Cross multiply
    20,362.05x = 30,543.89 × 9,685.85
  4. Step 4: Simplify right side
    20,362.05x = 295,843,335.81
  5. Step 5: Solve for x
    x = 295,843,335.81/20,362.05
  6. Step 6: Final answer
    x = 14,529.15

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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.