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Finding the Fourth Proportional to 27,561.48, 38,022.66 and 16,377

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Solution

The fourth proportional to 27,561.48, 38,022.66 and 16,377 is: 22,593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,561.48 : 38,022.66 = 16,377 : x
  2. Step 2: Convert to fraction form
    27,561.48/38,022.66 = 16,377/x
  3. Step 3: Cross multiply
    27,561.48x = 38,022.66 × 16,377
  4. Step 4: Simplify right side
    27,561.48x = 622,697,102.82
  5. Step 5: Solve for x
    x = 622,697,102.82/27,561.48
  6. Step 6: Final answer
    x = 22,593.02

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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.