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Finding the Fourth Proportional to 16,144.74, 24,216.44 and 5,617.15

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Solution

The fourth proportional to 16,144.74, 24,216.44 and 5,617.15 is: 8,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.74 : 24,216.44 = 5,617.15 : x
  2. Step 2: Convert to fraction form
    16,144.74/24,216.44 = 5,617.15/x
  3. Step 3: Cross multiply
    16,144.74x = 24,216.44 × 5,617.15
  4. Step 4: Simplify right side
    16,144.74x = 136,027,287.32
  5. Step 5: Solve for x
    x = 136,027,287.32/16,144.74
  6. Step 6: Final answer
    x = 8,425.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.