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Finding the Fourth Proportional to 34,074.27, 51,095.24 and 11,884.95

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Solution

The fourth proportional to 34,074.27, 51,095.24 and 11,884.95 is: 17,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,074.27 : 51,095.24 = 11,884.95 : x
  2. Step 2: Convert to fraction form
    34,074.27/51,095.24 = 11,884.95/x
  3. Step 3: Cross multiply
    34,074.27x = 51,095.24 × 11,884.95
  4. Step 4: Simplify right side
    34,074.27x = 607,264,313.21
  5. Step 5: Solve for x
    x = 607,264,313.21/34,074.27
  6. Step 6: Final answer
    x = 17,821.78

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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.