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Finding the Fourth Proportional to 26,825, 37,019.14 and 15,049

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Solution

The fourth proportional to 26,825, 37,019.14 and 15,049 is: 20,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,825 : 37,019.14 = 15,049 : x
  2. Step 2: Convert to fraction form
    26,825/37,019.14 = 15,049/x
  3. Step 3: Cross multiply
    26,825x = 37,019.14 × 15,049
  4. Step 4: Simplify right side
    26,825x = 557,101,037.86
  5. Step 5: Solve for x
    x = 557,101,037.86/26,825
  6. Step 6: Final answer
    x = 20,767.98

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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.