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Finding the Fourth Proportional to 26,471.29, 39,706.95 and 8,941.15

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Solution

The fourth proportional to 26,471.29, 39,706.95 and 8,941.15 is: 13,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,471.29 : 39,706.95 = 8,941.15 : x
  2. Step 2: Convert to fraction form
    26,471.29/39,706.95 = 8,941.15/x
  3. Step 3: Cross multiply
    26,471.29x = 39,706.95 × 8,941.15
  4. Step 4: Simplify right side
    26,471.29x = 355,025,795.99
  5. Step 5: Solve for x
    x = 355,025,795.99/26,471.29
  6. Step 6: Final answer
    x = 13,411.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.