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Finding the Fourth Proportional to 26,814.84, 36,999.09 and 16,205.06

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Solution

The fourth proportional to 26,814.84, 36,999.09 and 16,205.06 is: 22,359.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,814.84 : 36,999.09 = 16,205.06 : x
  2. Step 2: Convert to fraction form
    26,814.84/36,999.09 = 16,205.06/x
  3. Step 3: Cross multiply
    26,814.84x = 36,999.09 × 16,205.06
  4. Step 4: Simplify right side
    26,814.84x = 599,572,288.40
  5. Step 5: Solve for x
    x = 599,572,288.40/26,814.84
  6. Step 6: Final answer
    x = 22,359.72

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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.