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Finding the Fourth Proportional to 26,678, 36,815.49 and 14,741.34

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Solution

The fourth proportional to 26,678, 36,815.49 and 14,741.34 is: 20,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,678 : 36,815.49 = 14,741.34 : x
  2. Step 2: Convert to fraction form
    26,678/36,815.49 = 14,741.34/x
  3. Step 3: Cross multiply
    26,678x = 36,815.49 × 14,741.34
  4. Step 4: Simplify right side
    26,678x = 542,709,655.36
  5. Step 5: Solve for x
    x = 542,709,655.36/26,678
  6. Step 6: Final answer
    x = 20,342.97

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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.