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Finding the Fourth Proportional to 14,604.96, 20,147.82 and 9,567

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Solution

The fourth proportional to 14,604.96, 20,147.82 and 9,567 is: 13,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.96 : 20,147.82 = 9,567 : x
  2. Step 2: Convert to fraction form
    14,604.96/20,147.82 = 9,567/x
  3. Step 3: Cross multiply
    14,604.96x = 20,147.82 × 9,567
  4. Step 4: Simplify right side
    14,604.96x = 192,754,193.94
  5. Step 5: Solve for x
    x = 192,754,193.94/14,604.96
  6. Step 6: Final answer
    x = 13,197.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.