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Finding the Fourth Proportional to 27,115.99, 40,649.08 and 9,342.42

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Solution

The fourth proportional to 27,115.99, 40,649.08 and 9,342.42 is: 14,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,115.99 : 40,649.08 = 9,342.42 : x
  2. Step 2: Convert to fraction form
    27,115.99/40,649.08 = 9,342.42/x
  3. Step 3: Cross multiply
    27,115.99x = 40,649.08 × 9,342.42
  4. Step 4: Simplify right side
    27,115.99x = 379,760,749.47
  5. Step 5: Solve for x
    x = 379,760,749.47/27,115.99
  6. Step 6: Final answer
    x = 14,005.05

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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.