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Finding the Fourth Proportional to 24,147.21, 36,226.77 and 19,509.30

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Solution

The fourth proportional to 24,147.21, 36,226.77 and 19,509.30 is: 29,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.21 : 36,226.77 = 19,509.30 : x
  2. Step 2: Convert to fraction form
    24,147.21/36,226.77 = 19,509.30/x
  3. Step 3: Cross multiply
    24,147.21x = 36,226.77 × 19,509.30
  4. Step 4: Simplify right side
    24,147.21x = 706,758,923.96
  5. Step 5: Solve for x
    x = 706,758,923.96/24,147.21
  6. Step 6: Final answer
    x = 29,268.76

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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.