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Finding the Fourth Proportional to 27,857.42, 41,777.76 and 8,130.68

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Solution

The fourth proportional to 27,857.42, 41,777.76 and 8,130.68 is: 12,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.42 : 41,777.76 = 8,130.68 : x
  2. Step 2: Convert to fraction form
    27,857.42/41,777.76 = 8,130.68/x
  3. Step 3: Cross multiply
    27,857.42x = 41,777.76 × 8,130.68
  4. Step 4: Simplify right side
    27,857.42x = 339,681,597.68
  5. Step 5: Solve for x
    x = 339,681,597.68/27,857.42
  6. Step 6: Final answer
    x = 12,193.58

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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.