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Finding the Fourth Proportional to 27,776.68, 41,669.12 and 8,052.68

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Solution

The fourth proportional to 27,776.68, 41,669.12 and 8,052.68 is: 12,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.68 : 41,669.12 = 8,052.68 : x
  2. Step 2: Convert to fraction form
    27,776.68/41,669.12 = 8,052.68/x
  3. Step 3: Cross multiply
    27,776.68x = 41,669.12 × 8,052.68
  4. Step 4: Simplify right side
    27,776.68x = 335,548,213.55
  5. Step 5: Solve for x
    x = 335,548,213.55/27,776.68
  6. Step 6: Final answer
    x = 12,080.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.