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Finding the Fourth Proportional to 10,149.21, 15,229.26 and 4,230.20

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Solution

The fourth proportional to 10,149.21, 15,229.26 and 4,230.20 is: 6,347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.21 : 15,229.26 = 4,230.20 : x
  2. Step 2: Convert to fraction form
    10,149.21/15,229.26 = 4,230.20/x
  3. Step 3: Cross multiply
    10,149.21x = 15,229.26 × 4,230.20
  4. Step 4: Simplify right side
    10,149.21x = 64,422,739.51
  5. Step 5: Solve for x
    x = 64,422,739.51/10,149.21
  6. Step 6: Final answer
    x = 6,347.56

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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.