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Finding the Fourth Proportional to 16,103.58, 22,224.32 and 9,031.38

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Solution

The fourth proportional to 16,103.58, 22,224.32 and 9,031.38 is: 12,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,103.58 : 22,224.32 = 9,031.38 : x
  2. Step 2: Convert to fraction form
    16,103.58/22,224.32 = 9,031.38/x
  3. Step 3: Cross multiply
    16,103.58x = 22,224.32 × 9,031.38
  4. Step 4: Simplify right side
    16,103.58x = 200,716,279.16
  5. Step 5: Solve for x
    x = 200,716,279.16/16,103.58
  6. Step 6: Final answer
    x = 12,464.08

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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.