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Finding the Fourth Proportional to 26,764.44, 36,935.26 and 14,828

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Solution

The fourth proportional to 26,764.44, 36,935.26 and 14,828 is: 20,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,764.44 : 36,935.26 = 14,828 : x
  2. Step 2: Convert to fraction form
    26,764.44/36,935.26 = 14,828/x
  3. Step 3: Cross multiply
    26,764.44x = 36,935.26 × 14,828
  4. Step 4: Simplify right side
    26,764.44x = 547,676,035.28
  5. Step 5: Solve for x
    x = 547,676,035.28/26,764.44
  6. Step 6: Final answer
    x = 20,462.82

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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.