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Finding the Fourth Proportional to 27,768.96, 38,288.40 and 22,447.20

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Solution

The fourth proportional to 27,768.96, 38,288.40 and 22,447.20 is: 30,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,768.96 : 38,288.40 = 22,447.20 : x
  2. Step 2: Convert to fraction form
    27,768.96/38,288.40 = 22,447.20/x
  3. Step 3: Cross multiply
    27,768.96x = 38,288.40 × 22,447.20
  4. Step 4: Simplify right side
    27,768.96x = 859,467,372.48
  5. Step 5: Solve for x
    x = 859,467,372.48/27,768.96
  6. Step 6: Final answer
    x = 30,950.65

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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.