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Finding the Fourth Proportional to 27,105.68, 37,409.10 and 16,496.84

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Solution

The fourth proportional to 27,105.68, 37,409.10 and 16,496.84 is: 22,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,105.68 : 37,409.10 = 16,496.84 : x
  2. Step 2: Convert to fraction form
    27,105.68/37,409.10 = 16,496.84/x
  3. Step 3: Cross multiply
    27,105.68x = 37,409.10 × 16,496.84
  4. Step 4: Simplify right side
    27,105.68x = 617,131,937.24
  5. Step 5: Solve for x
    x = 617,131,937.24/27,105.68
  6. Step 6: Final answer
    x = 22,767.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.