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Finding the Fourth Proportional to 27,534.25, 37,997.27 and 14,959

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Solution

The fourth proportional to 27,534.25, 37,997.27 and 14,959 is: 20,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534.25 : 37,997.27 = 14,959 : x
  2. Step 2: Convert to fraction form
    27,534.25/37,997.27 = 14,959/x
  3. Step 3: Cross multiply
    27,534.25x = 37,997.27 × 14,959
  4. Step 4: Simplify right side
    27,534.25x = 568,401,161.93
  5. Step 5: Solve for x
    x = 568,401,161.93/27,534.25
  6. Step 6: Final answer
    x = 20,643.42

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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.