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Finding the Fourth Proportional to 27,057.42, 40,588.34 and 8,337.47

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Solution

The fourth proportional to 27,057.42, 40,588.34 and 8,337.47 is: 12,506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,057.42 : 40,588.34 = 8,337.47 : x
  2. Step 2: Convert to fraction form
    27,057.42/40,588.34 = 8,337.47/x
  3. Step 3: Cross multiply
    27,057.42x = 40,588.34 × 8,337.47
  4. Step 4: Simplify right side
    27,057.42x = 338,403,822.47
  5. Step 5: Solve for x
    x = 338,403,822.47/27,057.42
  6. Step 6: Final answer
    x = 12,506.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.