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Finding the Fourth Proportional to 18,100, 27,125.34 and 9,316.36

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Solution

The fourth proportional to 18,100, 27,125.34 and 9,316.36 is: 13,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,100 : 27,125.34 = 9,316.36 : x
  2. Step 2: Convert to fraction form
    18,100/27,125.34 = 9,316.36/x
  3. Step 3: Cross multiply
    18,100x = 27,125.34 × 9,316.36
  4. Step 4: Simplify right side
    18,100x = 252,709,432.56
  5. Step 5: Solve for x
    x = 252,709,432.56/18,100
  6. Step 6: Final answer
    x = 13,961.85

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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.