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Finding the Fourth Proportional to 26,162.66, 36,104.28 and 14,226

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Solution

The fourth proportional to 26,162.66, 36,104.28 and 14,226 is: 19,631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,162.66 : 36,104.28 = 14,226 : x
  2. Step 2: Convert to fraction form
    26,162.66/36,104.28 = 14,226/x
  3. Step 3: Cross multiply
    26,162.66x = 36,104.28 × 14,226
  4. Step 4: Simplify right side
    26,162.66x = 513,619,487.28
  5. Step 5: Solve for x
    x = 513,619,487.28/26,162.66
  6. Step 6: Final answer
    x = 19,631.78

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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.