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Finding the Fourth Proportional to 27,853.54, 41,776.20 and 8,126.80

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Solution

The fourth proportional to 27,853.54, 41,776.20 and 8,126.80 is: 12,189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,853.54 : 41,776.20 = 8,126.80 : x
  2. Step 2: Convert to fraction form
    27,853.54/41,776.20 = 8,126.80/x
  3. Step 3: Cross multiply
    27,853.54x = 41,776.20 × 8,126.80
  4. Step 4: Simplify right side
    27,853.54x = 339,506,822.16
  5. Step 5: Solve for x
    x = 339,506,822.16/27,853.54
  6. Step 6: Final answer
    x = 12,189.00

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