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Finding the Fourth Proportional to 15,175.38, 20,954.94 and 9,519.60

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Solution

The fourth proportional to 15,175.38, 20,954.94 and 9,519.60 is: 13,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.38 : 20,954.94 = 9,519.60 : x
  2. Step 2: Convert to fraction form
    15,175.38/20,954.94 = 9,519.60/x
  3. Step 3: Cross multiply
    15,175.38x = 20,954.94 × 9,519.60
  4. Step 4: Simplify right side
    15,175.38x = 199,482,646.82
  5. Step 5: Solve for x
    x = 199,482,646.82/15,175.38
  6. Step 6: Final answer
    x = 13,145.15

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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.