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Finding the Fourth Proportional to 26,086.49, 35,999.10 and 14,149.57

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Solution

The fourth proportional to 26,086.49, 35,999.10 and 14,149.57 is: 19,526.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,086.49 : 35,999.10 = 14,149.57 : x
  2. Step 2: Convert to fraction form
    26,086.49/35,999.10 = 14,149.57/x
  3. Step 3: Cross multiply
    26,086.49x = 35,999.10 × 14,149.57
  4. Step 4: Simplify right side
    26,086.49x = 509,371,785.39
  5. Step 5: Solve for x
    x = 509,371,785.39/26,086.49
  6. Step 6: Final answer
    x = 19,526.27

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