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Finding the Fourth Proportional to 26,463.51, 39,694.86 and 8,945.64

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Solution

The fourth proportional to 26,463.51, 39,694.86 and 8,945.64 is: 13,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,463.51 : 39,694.86 = 8,945.64 : x
  2. Step 2: Convert to fraction form
    26,463.51/39,694.86 = 8,945.64/x
  3. Step 3: Cross multiply
    26,463.51x = 39,694.86 × 8,945.64
  4. Step 4: Simplify right side
    26,463.51x = 355,095,927.41
  5. Step 5: Solve for x
    x = 355,095,927.41/26,463.51
  6. Step 6: Final answer
    x = 13,418.32

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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.