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Finding the Fourth Proportional to 24,364, 33,622.37 and 13,186

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Solution

The fourth proportional to 24,364, 33,622.37 and 13,186 is: 18,196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,364 : 33,622.37 = 13,186 : x
  2. Step 2: Convert to fraction form
    24,364/33,622.37 = 13,186/x
  3. Step 3: Cross multiply
    24,364x = 33,622.37 × 13,186
  4. Step 4: Simplify right side
    24,364x = 443,344,570.82
  5. Step 5: Solve for x
    x = 443,344,570.82/24,364
  6. Step 6: Final answer
    x = 18,196.71

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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.