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Finding the Fourth Proportional to 27,496.96, 37,917.12 and 16,316.80

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Solution

The fourth proportional to 27,496.96, 37,917.12 and 16,316.80 is: 22,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,496.96 : 37,917.12 = 16,316.80 : x
  2. Step 2: Convert to fraction form
    27,496.96/37,917.12 = 16,316.80/x
  3. Step 3: Cross multiply
    27,496.96x = 37,917.12 × 16,316.80
  4. Step 4: Simplify right side
    27,496.96x = 618,686,063.62
  5. Step 5: Solve for x
    x = 618,686,063.62/27,496.96
  6. Step 6: Final answer
    x = 22,500.16

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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.