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Finding the Fourth Proportional to 19,435.14, 29,147.85 and 5,584.14

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Solution

The fourth proportional to 19,435.14, 29,147.85 and 5,584.14 is: 8,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,435.14 : 29,147.85 = 5,584.14 : x
  2. Step 2: Convert to fraction form
    19,435.14/29,147.85 = 5,584.14/x
  3. Step 3: Cross multiply
    19,435.14x = 29,147.85 × 5,584.14
  4. Step 4: Simplify right side
    19,435.14x = 162,765,675.10
  5. Step 5: Solve for x
    x = 162,765,675.10/19,435.14
  6. Step 6: Final answer
    x = 8,374.81

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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.