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Finding the Fourth Proportional to 27,369.81, 37,767.36 and 16,037.05

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Solution

The fourth proportional to 27,369.81, 37,767.36 and 16,037.05 is: 22,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,369.81 : 37,767.36 = 16,037.05 : x
  2. Step 2: Convert to fraction form
    27,369.81/37,767.36 = 16,037.05/x
  3. Step 3: Cross multiply
    27,369.81x = 37,767.36 × 16,037.05
  4. Step 4: Simplify right side
    27,369.81x = 605,676,960.50
  5. Step 5: Solve for x
    x = 605,676,960.50/27,369.81
  6. Step 6: Final answer
    x = 22,129.39

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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.