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Finding the Fourth Proportional to 19,847.85, 29,765.50 and 6,518.65

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Solution

The fourth proportional to 19,847.85, 29,765.50 and 6,518.65 is: 9,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.85 : 29,765.50 = 6,518.65 : x
  2. Step 2: Convert to fraction form
    19,847.85/29,765.50 = 6,518.65/x
  3. Step 3: Cross multiply
    19,847.85x = 29,765.50 × 6,518.65
  4. Step 4: Simplify right side
    19,847.85x = 194,030,850.44
  5. Step 5: Solve for x
    x = 194,030,850.44/19,847.85
  6. Step 6: Final answer
    x = 9,775.91

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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.