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Finding the Fourth Proportional to 27,734.17, 41,601.29 and 6,957.67

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Solution

The fourth proportional to 27,734.17, 41,601.29 and 6,957.67 is: 10,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,734.17 : 41,601.29 = 6,957.67 : x
  2. Step 2: Convert to fraction form
    27,734.17/41,601.29 = 6,957.67/x
  3. Step 3: Cross multiply
    27,734.17x = 41,601.29 × 6,957.67
  4. Step 4: Simplify right side
    27,734.17x = 289,448,047.39
  5. Step 5: Solve for x
    x = 289,448,047.39/27,734.17
  6. Step 6: Final answer
    x = 10,436.51

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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.