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Finding the Fourth Proportional to 20,434.68, 30,608.82 and 9,350.64

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Solution

The fourth proportional to 20,434.68, 30,608.82 and 9,350.64 is: 14,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,434.68 : 30,608.82 = 9,350.64 : x
  2. Step 2: Convert to fraction form
    20,434.68/30,608.82 = 9,350.64/x
  3. Step 3: Cross multiply
    20,434.68x = 30,608.82 × 9,350.64
  4. Step 4: Simplify right side
    20,434.68x = 286,212,056.64
  5. Step 5: Solve for x
    x = 286,212,056.64/20,434.68
  6. Step 6: Final answer
    x = 14,006.19

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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.