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Finding the Fourth Proportional to 37,194.36, 55,786.68 and 16,413

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Solution

The fourth proportional to 37,194.36, 55,786.68 and 16,413 is: 24,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,194.36 : 55,786.68 = 16,413 : x
  2. Step 2: Convert to fraction form
    37,194.36/55,786.68 = 16,413/x
  3. Step 3: Cross multiply
    37,194.36x = 55,786.68 × 16,413
  4. Step 4: Simplify right side
    37,194.36x = 915,626,778.84
  5. Step 5: Solve for x
    x = 915,626,778.84/37,194.36
  6. Step 6: Final answer
    x = 24,617.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.