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Finding the Fourth Proportional to 26,004, 35,891.92 and 14,832.48

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Solution

The fourth proportional to 26,004, 35,891.92 and 14,832.48 is: 20,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,004 : 35,891.92 = 14,832.48 : x
  2. Step 2: Convert to fraction form
    26,004/35,891.92 = 14,832.48/x
  3. Step 3: Cross multiply
    26,004x = 35,891.92 × 14,832.48
  4. Step 4: Simplify right side
    26,004x = 532,366,185.56
  5. Step 5: Solve for x
    x = 532,366,185.56/26,004
  6. Step 6: Final answer
    x = 20,472.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.