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Finding the Fourth Proportional to 27,769.68, 38,319.84 and 15,832.80

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Solution

The fourth proportional to 27,769.68, 38,319.84 and 15,832.80 is: 21,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769.68 : 38,319.84 = 15,832.80 : x
  2. Step 2: Convert to fraction form
    27,769.68/38,319.84 = 15,832.80/x
  3. Step 3: Cross multiply
    27,769.68x = 38,319.84 × 15,832.80
  4. Step 4: Simplify right side
    27,769.68x = 606,710,362.75
  5. Step 5: Solve for x
    x = 606,710,362.75/27,769.68
  6. Step 6: Final answer
    x = 21,847.94

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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.