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Finding the Fourth Proportional to 27,900.90, 41,851.80 and 8,178.93

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Solution

The fourth proportional to 27,900.90, 41,851.80 and 8,178.93 is: 12,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,900.90 : 41,851.80 = 8,178.93 : x
  2. Step 2: Convert to fraction form
    27,900.90/41,851.80 = 8,178.93/x
  3. Step 3: Cross multiply
    27,900.90x = 41,851.80 × 8,178.93
  4. Step 4: Simplify right side
    27,900.90x = 342,302,942.57
  5. Step 5: Solve for x
    x = 342,302,942.57/27,900.90
  6. Step 6: Final answer
    x = 12,268.53

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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.