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Finding the Fourth Proportional to 19,609.96, 29,415.42 and 5,759.40

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Solution

The fourth proportional to 19,609.96, 29,415.42 and 5,759.40 is: 8,639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,609.96 : 29,415.42 = 5,759.40 : x
  2. Step 2: Convert to fraction form
    19,609.96/29,415.42 = 5,759.40/x
  3. Step 3: Cross multiply
    19,609.96x = 29,415.42 × 5,759.40
  4. Step 4: Simplify right side
    19,609.96x = 169,415,169.95
  5. Step 5: Solve for x
    x = 169,415,169.95/19,609.96
  6. Step 6: Final answer
    x = 8,639.24

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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.