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Finding the Fourth Proportional to 27,804.41, 41,708.89 and 8,082.95

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Solution

The fourth proportional to 27,804.41, 41,708.89 and 8,082.95 is: 12,125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.41 : 41,708.89 = 8,082.95 : x
  2. Step 2: Convert to fraction form
    27,804.41/41,708.89 = 8,082.95/x
  3. Step 3: Cross multiply
    27,804.41x = 41,708.89 × 8,082.95
  4. Step 4: Simplify right side
    27,804.41x = 337,130,673.98
  5. Step 5: Solve for x
    x = 337,130,673.98/27,804.41
  6. Step 6: Final answer
    x = 12,125.08

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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.