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Finding the Fourth Proportional to 27,572.25, 38,049.75 and 14,997

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Solution

The fourth proportional to 27,572.25, 38,049.75 and 14,997 is: 20,695.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,572.25 : 38,049.75 = 14,997 : x
  2. Step 2: Convert to fraction form
    27,572.25/38,049.75 = 14,997/x
  3. Step 3: Cross multiply
    27,572.25x = 38,049.75 × 14,997
  4. Step 4: Simplify right side
    27,572.25x = 570,632,100.75
  5. Step 5: Solve for x
    x = 570,632,100.75/27,572.25
  6. Step 6: Final answer
    x = 20,695.88

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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.