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Finding the Fourth Proportional to 26,114.82, 36,039.22 and 14,178.92

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Solution

The fourth proportional to 26,114.82, 36,039.22 and 14,178.92 is: 19,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,114.82 : 36,039.22 = 14,178.92 : x
  2. Step 2: Convert to fraction form
    26,114.82/36,039.22 = 14,178.92/x
  3. Step 3: Cross multiply
    26,114.82x = 36,039.22 × 14,178.92
  4. Step 4: Simplify right side
    26,114.82x = 510,997,217.24
  5. Step 5: Solve for x
    x = 510,997,217.24/26,114.82
  6. Step 6: Final answer
    x = 19,567.33

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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.