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Finding the Fourth Proportional to 27,347.87, 37,749.44 and 16,021

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Solution

The fourth proportional to 27,347.87, 37,749.44 and 16,021 is: 22,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,347.87 : 37,749.44 = 16,021 : x
  2. Step 2: Convert to fraction form
    27,347.87/37,749.44 = 16,021/x
  3. Step 3: Cross multiply
    27,347.87x = 37,749.44 × 16,021
  4. Step 4: Simplify right side
    27,347.87x = 604,783,778.24
  5. Step 5: Solve for x
    x = 604,783,778.24/27,347.87
  6. Step 6: Final answer
    x = 22,114.47

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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.