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Finding the Fourth Proportional to 18,114.42, 24,997.37 and 10,156.98

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Solution

The fourth proportional to 18,114.42, 24,997.37 and 10,156.98 is: 14,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,114.42 : 24,997.37 = 10,156.98 : x
  2. Step 2: Convert to fraction form
    18,114.42/24,997.37 = 10,156.98/x
  3. Step 3: Cross multiply
    18,114.42x = 24,997.37 × 10,156.98
  4. Step 4: Simplify right side
    18,114.42x = 253,897,736.36
  5. Step 5: Solve for x
    x = 253,897,736.36/18,114.42
  6. Step 6: Final answer
    x = 14,016.33

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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.