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Finding the Fourth Proportional to 16,168.34, 24,231.94 and 7,274.15

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Solution

The fourth proportional to 16,168.34, 24,231.94 and 7,274.15 is: 10,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,168.34 : 24,231.94 = 7,274.15 : x
  2. Step 2: Convert to fraction form
    16,168.34/24,231.94 = 7,274.15/x
  3. Step 3: Cross multiply
    16,168.34x = 24,231.94 × 7,274.15
  4. Step 4: Simplify right side
    16,168.34x = 176,266,808.75
  5. Step 5: Solve for x
    x = 176,266,808.75/16,168.34
  6. Step 6: Final answer
    x = 10,901.98

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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.