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Finding the Fourth Proportional to 23,767.38, 32,795.94 and 13,696.24

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Solution

The fourth proportional to 23,767.38, 32,795.94 and 13,696.24 is: 18,899.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,767.38 : 32,795.94 = 13,696.24 : x
  2. Step 2: Convert to fraction form
    23,767.38/32,795.94 = 13,696.24/x
  3. Step 3: Cross multiply
    23,767.38x = 32,795.94 × 13,696.24
  4. Step 4: Simplify right side
    23,767.38x = 449,181,065.27
  5. Step 5: Solve for x
    x = 449,181,065.27/23,767.38
  6. Step 6: Final answer
    x = 18,899.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.