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Finding the Fourth Proportional to 26,204.84, 36,162.50 and 14,268.17

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Solution

The fourth proportional to 26,204.84, 36,162.50 and 14,268.17 is: 19,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,204.84 : 36,162.50 = 14,268.17 : x
  2. Step 2: Convert to fraction form
    26,204.84/36,162.50 = 14,268.17/x
  3. Step 3: Cross multiply
    26,204.84x = 36,162.50 × 14,268.17
  4. Step 4: Simplify right side
    26,204.84x = 515,972,445.47
  5. Step 5: Solve for x
    x = 515,972,445.47/26,204.84
  6. Step 6: Final answer
    x = 19,689.97

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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.