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Finding the Fourth Proportional to 23,497.44, 32,427.09 and 13,427.52

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Solution

The fourth proportional to 23,497.44, 32,427.09 and 13,427.52 is: 18,530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.44 : 32,427.09 = 13,427.52 : x
  2. Step 2: Convert to fraction form
    23,497.44/32,427.09 = 13,427.52/x
  3. Step 3: Cross multiply
    23,497.44x = 32,427.09 × 13,427.52
  4. Step 4: Simplify right side
    23,497.44x = 435,415,399.52
  5. Step 5: Solve for x
    x = 435,415,399.52/23,497.44
  6. Step 6: Final answer
    x = 18,530.33

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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.