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Finding the Fourth Proportional to 19,694.20, 29,541.30 and 6,548.60

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Solution

The fourth proportional to 19,694.20, 29,541.30 and 6,548.60 is: 9,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.20 : 29,541.30 = 6,548.60 : x
  2. Step 2: Convert to fraction form
    19,694.20/29,541.30 = 6,548.60/x
  3. Step 3: Cross multiply
    19,694.20x = 29,541.30 × 6,548.60
  4. Step 4: Simplify right side
    19,694.20x = 193,454,157.18
  5. Step 5: Solve for x
    x = 193,454,157.18/19,694.20
  6. Step 6: Final answer
    x = 9,822.90

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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.