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Finding the Fourth Proportional to 11,589.86, 17,384.75 and 10,025.21

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Solution

The fourth proportional to 11,589.86, 17,384.75 and 10,025.21 is: 15,037.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.86 : 17,384.75 = 10,025.21 : x
  2. Step 2: Convert to fraction form
    11,589.86/17,384.75 = 10,025.21/x
  3. Step 3: Cross multiply
    11,589.86x = 17,384.75 × 10,025.21
  4. Step 4: Simplify right side
    11,589.86x = 174,285,769.55
  5. Step 5: Solve for x
    x = 174,285,769.55/11,589.86
  6. Step 6: Final answer
    x = 15,037.78

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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.