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Finding the Fourth Proportional to 16,819.34, 25,231.77 and 5,724.90

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Solution

The fourth proportional to 16,819.34, 25,231.77 and 5,724.90 is: 8,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,819.34 : 25,231.77 = 5,724.90 : x
  2. Step 2: Convert to fraction form
    16,819.34/25,231.77 = 5,724.90/x
  3. Step 3: Cross multiply
    16,819.34x = 25,231.77 × 5,724.90
  4. Step 4: Simplify right side
    16,819.34x = 144,449,360.07
  5. Step 5: Solve for x
    x = 144,449,360.07/16,819.34
  6. Step 6: Final answer
    x = 8,588.29

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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.