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Finding the Fourth Proportional to 20,102, 30,187.56 and 18,270.32

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Solution

The fourth proportional to 20,102, 30,187.56 and 18,270.32 is: 27,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102 : 30,187.56 = 18,270.32 : x
  2. Step 2: Convert to fraction form
    20,102/30,187.56 = 18,270.32/x
  3. Step 3: Cross multiply
    20,102x = 30,187.56 × 18,270.32
  4. Step 4: Simplify right side
    20,102x = 551,536,381.22
  5. Step 5: Solve for x
    x = 551,536,381.22/20,102
  6. Step 6: Final answer
    x = 27,436.89

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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.