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Finding the Fourth Proportional to 26,940.40, 40,406.76 and 8,470

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Solution

The fourth proportional to 26,940.40, 40,406.76 and 8,470 is: 12,703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,940.40 : 40,406.76 = 8,470 : x
  2. Step 2: Convert to fraction form
    26,940.40/40,406.76 = 8,470/x
  3. Step 3: Cross multiply
    26,940.40x = 40,406.76 × 8,470
  4. Step 4: Simplify right side
    26,940.40x = 342,245,257.20
  5. Step 5: Solve for x
    x = 342,245,257.20/26,940.40
  6. Step 6: Final answer
    x = 12,703.79

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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.