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Finding the Fourth Proportional to 12,847.56, 19,272 and 3,614.28

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Solution

The fourth proportional to 12,847.56, 19,272 and 3,614.28 is: 5,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.56 : 19,272 = 3,614.28 : x
  2. Step 2: Convert to fraction form
    12,847.56/19,272 = 3,614.28/x
  3. Step 3: Cross multiply
    12,847.56x = 19,272 × 3,614.28
  4. Step 4: Simplify right side
    12,847.56x = 69,654,404.16
  5. Step 5: Solve for x
    x = 69,654,404.16/12,847.56
  6. Step 6: Final answer
    x = 5,421.61

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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.