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Finding the Fourth Proportional to 27,724.78, 38,237.87 and 17,650.00

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Solution

The fourth proportional to 27,724.78, 38,237.87 and 17,650.00 is: 24,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724.78 : 38,237.87 = 17,650.00 : x
  2. Step 2: Convert to fraction form
    27,724.78/38,237.87 = 17,650.00/x
  3. Step 3: Cross multiply
    27,724.78x = 38,237.87 × 17,650.00
  4. Step 4: Simplify right side
    27,724.78x = 674,898,497.42
  5. Step 5: Solve for x
    x = 674,898,497.42/27,724.78
  6. Step 6: Final answer
    x = 24,342.79

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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.