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Finding the Fourth Proportional to 20,151.84, 30,241.20 and 7,683.36

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Solution

The fourth proportional to 20,151.84, 30,241.20 and 7,683.36 is: 11,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151.84 : 30,241.20 = 7,683.36 : x
  2. Step 2: Convert to fraction form
    20,151.84/30,241.20 = 7,683.36/x
  3. Step 3: Cross multiply
    20,151.84x = 30,241.20 × 7,683.36
  4. Step 4: Simplify right side
    20,151.84x = 232,354,026.43
  5. Step 5: Solve for x
    x = 232,354,026.43/20,151.84
  6. Step 6: Final answer
    x = 11,530.16

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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.