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Finding the Fourth Proportional to 19,698.76, 29,548.12 and 5,847.76

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Solution

The fourth proportional to 19,698.76, 29,548.12 and 5,847.76 is: 8,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698.76 : 29,548.12 = 5,847.76 : x
  2. Step 2: Convert to fraction form
    19,698.76/29,548.12 = 5,847.76/x
  3. Step 3: Cross multiply
    19,698.76x = 29,548.12 × 5,847.76
  4. Step 4: Simplify right side
    19,698.76x = 172,790,314.21
  5. Step 5: Solve for x
    x = 172,790,314.21/19,698.76
  6. Step 6: Final answer
    x = 8,771.63

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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.