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Finding the Fourth Proportional to 26,204, 36,160.98 and 14,267.56

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Solution

The fourth proportional to 26,204, 36,160.98 and 14,267.56 is: 19,688.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,204 : 36,160.98 = 14,267.56 : x
  2. Step 2: Convert to fraction form
    26,204/36,160.98 = 14,267.56/x
  3. Step 3: Cross multiply
    26,204x = 36,160.98 × 14,267.56
  4. Step 4: Simplify right side
    26,204x = 515,928,951.81
  5. Step 5: Solve for x
    x = 515,928,951.81/26,204
  6. Step 6: Final answer
    x = 19,688.94

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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.