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Finding the Fourth Proportional to 24,197.32, 36,321.90 and 19,039.24

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Solution

The fourth proportional to 24,197.32, 36,321.90 and 19,039.24 is: 28,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197.32 : 36,321.90 = 19,039.24 : x
  2. Step 2: Convert to fraction form
    24,197.32/36,321.90 = 19,039.24/x
  3. Step 3: Cross multiply
    24,197.32x = 36,321.90 × 19,039.24
  4. Step 4: Simplify right side
    24,197.32x = 691,541,371.36
  5. Step 5: Solve for x
    x = 691,541,371.36/24,197.32
  6. Step 6: Final answer
    x = 28,579.25

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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.