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Finding the Fourth Proportional to 23,682.44, 32,679.43 and 13,071.38

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Solution

The fourth proportional to 23,682.44, 32,679.43 and 13,071.38 is: 18,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.44 : 32,679.43 = 13,071.38 : x
  2. Step 2: Convert to fraction form
    23,682.44/32,679.43 = 13,071.38/x
  3. Step 3: Cross multiply
    23,682.44x = 32,679.43 × 13,071.38
  4. Step 4: Simplify right side
    23,682.44x = 427,165,247.71
  5. Step 5: Solve for x
    x = 427,165,247.71/23,682.44
  6. Step 6: Final answer
    x = 18,037.22

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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.