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Finding the Fourth Proportional to 17,678.44, 24,403.44 and 10,961.92

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Solution

The fourth proportional to 17,678.44, 24,403.44 and 10,961.92 is: 15,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.44 : 24,403.44 = 10,961.92 : x
  2. Step 2: Convert to fraction form
    17,678.44/24,403.44 = 10,961.92/x
  3. Step 3: Cross multiply
    17,678.44x = 24,403.44 × 10,961.92
  4. Step 4: Simplify right side
    17,678.44x = 267,508,557.00
  5. Step 5: Solve for x
    x = 267,508,557.00/17,678.44
  6. Step 6: Final answer
    x = 15,131.91

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1.5x scale

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.