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Finding the Fourth Proportional to 16,114.34, 24,178.71 and 7,231.46

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Solution

The fourth proportional to 16,114.34, 24,178.71 and 7,231.46 is: 10,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.34 : 24,178.71 = 7,231.46 : x
  2. Step 2: Convert to fraction form
    16,114.34/24,178.71 = 7,231.46/x
  3. Step 3: Cross multiply
    16,114.34x = 24,178.71 × 7,231.46
  4. Step 4: Simplify right side
    16,114.34x = 174,847,374.22
  5. Step 5: Solve for x
    x = 174,847,374.22/16,114.34
  6. Step 6: Final answer
    x = 10,850.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.