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Finding the Fourth Proportional to 26,005.88, 35,887.97 and 14,069.18

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Solution

The fourth proportional to 26,005.88, 35,887.97 and 14,069.18 is: 19,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,005.88 : 35,887.97 = 14,069.18 : x
  2. Step 2: Convert to fraction form
    26,005.88/35,887.97 = 14,069.18/x
  3. Step 3: Cross multiply
    26,005.88x = 35,887.97 × 14,069.18
  4. Step 4: Simplify right side
    26,005.88x = 504,914,059.98
  5. Step 5: Solve for x
    x = 504,914,059.98/26,005.88
  6. Step 6: Final answer
    x = 19,415.38

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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.