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Finding the Fourth Proportional to 10,221.56, 15,329.90 and 2,825.86

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Solution

The fourth proportional to 10,221.56, 15,329.90 and 2,825.86 is: 4,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.56 : 15,329.90 = 2,825.86 : x
  2. Step 2: Convert to fraction form
    10,221.56/15,329.90 = 2,825.86/x
  3. Step 3: Cross multiply
    10,221.56x = 15,329.90 × 2,825.86
  4. Step 4: Simplify right side
    10,221.56x = 43,320,151.21
  5. Step 5: Solve for x
    x = 43,320,151.21/10,221.56
  6. Step 6: Final answer
    x = 4,238.12

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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.