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Finding the Fourth Proportional to 27,520.08, 37,987.40 and 16,342

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Solution

The fourth proportional to 27,520.08, 37,987.40 and 16,342 is: 22,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,520.08 : 37,987.40 = 16,342 : x
  2. Step 2: Convert to fraction form
    27,520.08/37,987.40 = 16,342/x
  3. Step 3: Cross multiply
    27,520.08x = 37,987.40 × 16,342
  4. Step 4: Simplify right side
    27,520.08x = 620,790,090.80
  5. Step 5: Solve for x
    x = 620,790,090.80/27,520.08
  6. Step 6: Final answer
    x = 22,557.71

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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.