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Finding the Fourth Proportional to 27,769.65, 38,334.77 and 17,711.88

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Solution

The fourth proportional to 27,769.65, 38,334.77 and 17,711.88 is: 24,450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769.65 : 38,334.77 = 17,711.88 : x
  2. Step 2: Convert to fraction form
    27,769.65/38,334.77 = 17,711.88/x
  3. Step 3: Cross multiply
    27,769.65x = 38,334.77 × 17,711.88
  4. Step 4: Simplify right side
    27,769.65x = 678,980,846.07
  5. Step 5: Solve for x
    x = 678,980,846.07/27,769.65
  6. Step 6: Final answer
    x = 24,450.46

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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.