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Finding the Fourth Proportional to 19,885.52, 29,825.04 and 6,737.60

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Solution

The fourth proportional to 19,885.52, 29,825.04 and 6,737.60 is: 10,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885.52 : 29,825.04 = 6,737.60 : x
  2. Step 2: Convert to fraction form
    19,885.52/29,825.04 = 6,737.60/x
  3. Step 3: Cross multiply
    19,885.52x = 29,825.04 × 6,737.60
  4. Step 4: Simplify right side
    19,885.52x = 200,949,189.50
  5. Step 5: Solve for x
    x = 200,949,189.50/19,885.52
  6. Step 6: Final answer
    x = 10,105.30

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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.