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Finding the Fourth Proportional to 23,660.26, 32,656.86 and 14,227

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Solution

The fourth proportional to 23,660.26, 32,656.86 and 14,227 is: 19,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,660.26 : 32,656.86 = 14,227 : x
  2. Step 2: Convert to fraction form
    23,660.26/32,656.86 = 14,227/x
  3. Step 3: Cross multiply
    23,660.26x = 32,656.86 × 14,227
  4. Step 4: Simplify right side
    23,660.26x = 464,609,147.22
  5. Step 5: Solve for x
    x = 464,609,147.22/23,660.26
  6. Step 6: Final answer
    x = 19,636.69

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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.