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Finding the Fourth Proportional to 20,811.67, 31,224.08 and 7,475.52

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Solution

The fourth proportional to 20,811.67, 31,224.08 and 7,475.52 is: 11,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,811.67 : 31,224.08 = 7,475.52 : x
  2. Step 2: Convert to fraction form
    20,811.67/31,224.08 = 7,475.52/x
  3. Step 3: Cross multiply
    20,811.67x = 31,224.08 × 7,475.52
  4. Step 4: Simplify right side
    20,811.67x = 233,416,370.30
  5. Step 5: Solve for x
    x = 233,416,370.30/20,811.67
  6. Step 6: Final answer
    x = 11,215.65

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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.