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Finding the Fourth Proportional to 16,183.39, 22,332.36 and 9,013.68

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Solution

The fourth proportional to 16,183.39, 22,332.36 and 9,013.68 is: 12,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.39 : 22,332.36 = 9,013.68 : x
  2. Step 2: Convert to fraction form
    16,183.39/22,332.36 = 9,013.68/x
  3. Step 3: Cross multiply
    16,183.39x = 22,332.36 × 9,013.68
  4. Step 4: Simplify right side
    16,183.39x = 201,296,746.68
  5. Step 5: Solve for x
    x = 201,296,746.68/16,183.39
  6. Step 6: Final answer
    x = 12,438.48

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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.