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Finding the Fourth Proportional to 19,885.75, 29,826.58 and 6,737.78

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Solution

The fourth proportional to 19,885.75, 29,826.58 and 6,737.78 is: 10,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885.75 : 29,826.58 = 6,737.78 : x
  2. Step 2: Convert to fraction form
    19,885.75/29,826.58 = 6,737.78/x
  3. Step 3: Cross multiply
    19,885.75x = 29,826.58 × 6,737.78
  4. Step 4: Simplify right side
    19,885.75x = 200,965,004.55
  5. Step 5: Solve for x
    x = 200,965,004.55/19,885.75
  6. Step 6: Final answer
    x = 10,105.98

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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.