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Finding the Fourth Proportional to 27,511.48, 37,953.66 and 16,327

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Solution

The fourth proportional to 27,511.48, 37,953.66 and 16,327 is: 22,524.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,511.48 : 37,953.66 = 16,327 : x
  2. Step 2: Convert to fraction form
    27,511.48/37,953.66 = 16,327/x
  3. Step 3: Cross multiply
    27,511.48x = 37,953.66 × 16,327
  4. Step 4: Simplify right side
    27,511.48x = 619,669,406.82
  5. Step 5: Solve for x
    x = 619,669,406.82/27,511.48
  6. Step 6: Final answer
    x = 22,524.03

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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.