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Finding the Fourth Proportional to 16,435.67, 24,641.96 and 5,759.42

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Solution

The fourth proportional to 16,435.67, 24,641.96 and 5,759.42 is: 8,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435.67 : 24,641.96 = 5,759.42 : x
  2. Step 2: Convert to fraction form
    16,435.67/24,641.96 = 5,759.42/x
  3. Step 3: Cross multiply
    16,435.67x = 24,641.96 × 5,759.42
  4. Step 4: Simplify right side
    16,435.67x = 141,923,245.26
  5. Step 5: Solve for x
    x = 141,923,245.26/16,435.67
  6. Step 6: Final answer
    x = 8,635.08

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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.