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Finding the Fourth Proportional to 16,205.34, 24,308.01 and 8,397.75

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Solution

The fourth proportional to 16,205.34, 24,308.01 and 8,397.75 is: 12,596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.34 : 24,308.01 = 8,397.75 : x
  2. Step 2: Convert to fraction form
    16,205.34/24,308.01 = 8,397.75/x
  3. Step 3: Cross multiply
    16,205.34x = 24,308.01 × 8,397.75
  4. Step 4: Simplify right side
    16,205.34x = 204,132,590.98
  5. Step 5: Solve for x
    x = 204,132,590.98/16,205.34
  6. Step 6: Final answer
    x = 12,596.63

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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.