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Finding the Fourth Proportional to 16,160, 24,238.38 and 11,786

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Solution

The fourth proportional to 16,160, 24,238.38 and 11,786 is: 17,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160 : 24,238.38 = 11,786 : x
  2. Step 2: Convert to fraction form
    16,160/24,238.38 = 11,786/x
  3. Step 3: Cross multiply
    16,160x = 24,238.38 × 11,786
  4. Step 4: Simplify right side
    16,160x = 285,673,546.68
  5. Step 5: Solve for x
    x = 285,673,546.68/16,160
  6. Step 6: Final answer
    x = 17,677.82

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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.