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Finding the Fourth Proportional to 16,230.48, 22,399.38 and 9,157.44

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Solution

The fourth proportional to 16,230.48, 22,399.38 and 9,157.44 is: 12,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,230.48 : 22,399.38 = 9,157.44 : x
  2. Step 2: Convert to fraction form
    16,230.48/22,399.38 = 9,157.44/x
  3. Step 3: Cross multiply
    16,230.48x = 22,399.38 × 9,157.44
  4. Step 4: Simplify right side
    16,230.48x = 205,120,978.39
  5. Step 5: Solve for x
    x = 205,120,978.39/16,230.48
  6. Step 6: Final answer
    x = 12,638.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.