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Finding the Fourth Proportional to 20,241.84, 30,343.05 and 9,151.32

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Solution

The fourth proportional to 20,241.84, 30,343.05 and 9,151.32 is: 13,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,241.84 : 30,343.05 = 9,151.32 : x
  2. Step 2: Convert to fraction form
    20,241.84/30,343.05 = 9,151.32/x
  3. Step 3: Cross multiply
    20,241.84x = 30,343.05 × 9,151.32
  4. Step 4: Simplify right side
    20,241.84x = 277,678,960.33
  5. Step 5: Solve for x
    x = 277,678,960.33/20,241.84
  6. Step 6: Final answer
    x = 13,718.07

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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.