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Finding the Fourth Proportional to 23,245.14, 32,077.17 and 12,634.14

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Solution

The fourth proportional to 23,245.14, 32,077.17 and 12,634.14 is: 17,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,245.14 : 32,077.17 = 12,634.14 : x
  2. Step 2: Convert to fraction form
    23,245.14/32,077.17 = 12,634.14/x
  3. Step 3: Cross multiply
    23,245.14x = 32,077.17 × 12,634.14
  4. Step 4: Simplify right side
    23,245.14x = 405,267,456.58
  5. Step 5: Solve for x
    x = 405,267,456.58/23,245.14
  6. Step 6: Final answer
    x = 17,434.50

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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.