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Finding the Fourth Proportional to 19,647.50, 29,431.83 and 9,756.86

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Solution

The fourth proportional to 19,647.50, 29,431.83 and 9,756.86 is: 14,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.50 : 29,431.83 = 9,756.86 : x
  2. Step 2: Convert to fraction form
    19,647.50/29,431.83 = 9,756.86/x
  3. Step 3: Cross multiply
    19,647.50x = 29,431.83 × 9,756.86
  4. Step 4: Simplify right side
    19,647.50x = 287,162,244.85
  5. Step 5: Solve for x
    x = 287,162,244.85/19,647.50
  6. Step 6: Final answer
    x = 14,615.71

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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.