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Finding the Fourth Proportional to 20,132.89, 30,186 and 9,604.53

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Solution

The fourth proportional to 20,132.89, 30,186 and 9,604.53 is: 14,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.89 : 30,186 = 9,604.53 : x
  2. Step 2: Convert to fraction form
    20,132.89/30,186 = 9,604.53/x
  3. Step 3: Cross multiply
    20,132.89x = 30,186 × 9,604.53
  4. Step 4: Simplify right side
    20,132.89x = 289,922,427.48
  5. Step 5: Solve for x
    x = 289,922,427.48/20,132.89
  6. Step 6: Final answer
    x = 14,400.44

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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.