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Finding the Fourth Proportional to 13,537.70, 20,306.64 and 8,861.64

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Solution

The fourth proportional to 13,537.70, 20,306.64 and 8,861.64 is: 13,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.70 : 20,306.64 = 8,861.64 : x
  2. Step 2: Convert to fraction form
    13,537.70/20,306.64 = 8,861.64/x
  3. Step 3: Cross multiply
    13,537.70x = 20,306.64 × 8,861.64
  4. Step 4: Simplify right side
    13,537.70x = 179,950,017.35
  5. Step 5: Solve for x
    x = 179,950,017.35/13,537.70
  6. Step 6: Final answer
    x = 13,292.51

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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.