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Finding the Fourth Proportional to 21,154.10, 31,734.75 and 7,299.86

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Solution

The fourth proportional to 21,154.10, 31,734.75 and 7,299.86 is: 10,951.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.10 : 31,734.75 = 7,299.86 : x
  2. Step 2: Convert to fraction form
    21,154.10/31,734.75 = 7,299.86/x
  3. Step 3: Cross multiply
    21,154.10x = 31,734.75 × 7,299.86
  4. Step 4: Simplify right side
    21,154.10x = 231,659,232.14
  5. Step 5: Solve for x
    x = 231,659,232.14/21,154.10
  6. Step 6: Final answer
    x = 10,951.03

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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.