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Finding the Fourth Proportional to 26,571.51, 36,667.62 and 14,634

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Solution

The fourth proportional to 26,571.51, 36,667.62 and 14,634 is: 20,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,571.51 : 36,667.62 = 14,634 : x
  2. Step 2: Convert to fraction form
    26,571.51/36,667.62 = 14,634/x
  3. Step 3: Cross multiply
    26,571.51x = 36,667.62 × 14,634
  4. Step 4: Simplify right side
    26,571.51x = 536,593,951.08
  5. Step 5: Solve for x
    x = 536,593,951.08/26,571.51
  6. Step 6: Final answer
    x = 20,194.33

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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.