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Finding the Fourth Proportional to 17,311.22, 25,970.52 and 5,468.46

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Solution

The fourth proportional to 17,311.22, 25,970.52 and 5,468.46 is: 8,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,311.22 : 25,970.52 = 5,468.46 : x
  2. Step 2: Convert to fraction form
    17,311.22/25,970.52 = 5,468.46/x
  3. Step 3: Cross multiply
    17,311.22x = 25,970.52 × 5,468.46
  4. Step 4: Simplify right side
    17,311.22x = 142,018,819.00
  5. Step 5: Solve for x
    x = 142,018,819.00/17,311.22
  6. Step 6: Final answer
    x = 8,203.86

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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.