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Finding the Fourth Proportional to 23,186.25, 31,997.03 and 13,114.47

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Solution

The fourth proportional to 23,186.25, 31,997.03 and 13,114.47 is: 18,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,186.25 : 31,997.03 = 13,114.47 : x
  2. Step 2: Convert to fraction form
    23,186.25/31,997.03 = 13,114.47/x
  3. Step 3: Cross multiply
    23,186.25x = 31,997.03 × 13,114.47
  4. Step 4: Simplify right side
    23,186.25x = 419,624,199.77
  5. Step 5: Solve for x
    x = 419,624,199.77/23,186.25
  6. Step 6: Final answer
    x = 18,097.98

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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.