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Finding the Fourth Proportional to 26,383.70, 36,409.02 and 14,446.46

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Solution

The fourth proportional to 26,383.70, 36,409.02 and 14,446.46 is: 19,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,383.70 : 36,409.02 = 14,446.46 : x
  2. Step 2: Convert to fraction form
    26,383.70/36,409.02 = 14,446.46/x
  3. Step 3: Cross multiply
    26,383.70x = 36,409.02 × 14,446.46
  4. Step 4: Simplify right side
    26,383.70x = 525,981,451.07
  5. Step 5: Solve for x
    x = 525,981,451.07/26,383.70
  6. Step 6: Final answer
    x = 19,935.85

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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.