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Finding the Fourth Proportional to 15,841.38, 21,857.61 and 9,467.02

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Solution

The fourth proportional to 15,841.38, 21,857.61 and 9,467.02 is: 13,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.38 : 21,857.61 = 9,467.02 : x
  2. Step 2: Convert to fraction form
    15,841.38/21,857.61 = 9,467.02/x
  3. Step 3: Cross multiply
    15,841.38x = 21,857.61 × 9,467.02
  4. Step 4: Simplify right side
    15,841.38x = 206,926,493.85
  5. Step 5: Solve for x
    x = 206,926,493.85/15,841.38
  6. Step 6: Final answer
    x = 13,062.40

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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.