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Finding the Fourth Proportional to 16,203.88, 24,295.26 and 5,107.24

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Solution

The fourth proportional to 16,203.88, 24,295.26 and 5,107.24 is: 7,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,203.88 : 24,295.26 = 5,107.24 : x
  2. Step 2: Convert to fraction form
    16,203.88/24,295.26 = 5,107.24/x
  3. Step 3: Cross multiply
    16,203.88x = 24,295.26 × 5,107.24
  4. Step 4: Simplify right side
    16,203.88x = 124,081,723.68
  5. Step 5: Solve for x
    x = 124,081,723.68/16,203.88
  6. Step 6: Final answer
    x = 7,657.53

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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.