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Finding the Fourth Proportional to 16,056.46, 24,082.19 and 6,194.30

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Solution

The fourth proportional to 16,056.46, 24,082.19 and 6,194.30 is: 9,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,056.46 : 24,082.19 = 6,194.30 : x
  2. Step 2: Convert to fraction form
    16,056.46/24,082.19 = 6,194.30/x
  3. Step 3: Cross multiply
    16,056.46x = 24,082.19 × 6,194.30
  4. Step 4: Simplify right side
    16,056.46x = 149,172,278.55
  5. Step 5: Solve for x
    x = 149,172,278.55/16,056.46
  6. Step 6: Final answer
    x = 9,290.49

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Why These Related Problems?

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