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Finding the Fourth Proportional to 23,164.25, 31,968.27 and 14,093.15

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Solution

The fourth proportional to 23,164.25, 31,968.27 and 14,093.15 is: 19,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.25 : 31,968.27 = 14,093.15 : x
  2. Step 2: Convert to fraction form
    23,164.25/31,968.27 = 14,093.15/x
  3. Step 3: Cross multiply
    23,164.25x = 31,968.27 × 14,093.15
  4. Step 4: Simplify right side
    23,164.25x = 450,533,553.88
  5. Step 5: Solve for x
    x = 450,533,553.88/23,164.25
  6. Step 6: Final answer
    x = 19,449.52

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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.