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Finding the Fourth Proportional to 26,141.86, 36,051.17 and 20,164.06

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Solution

The fourth proportional to 26,141.86, 36,051.17 and 20,164.06 is: 27,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,141.86 : 36,051.17 = 20,164.06 : x
  2. Step 2: Convert to fraction form
    26,141.86/36,051.17 = 20,164.06/x
  3. Step 3: Cross multiply
    26,141.86x = 36,051.17 × 20,164.06
  4. Step 4: Simplify right side
    26,141.86x = 726,937,954.95
  5. Step 5: Solve for x
    x = 726,937,954.95/26,141.86
  6. Step 6: Final answer
    x = 27,807.43

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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.