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Finding the Fourth Proportional to 13,586.37, 18,733.19 and 12,578.73

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Solution

The fourth proportional to 13,586.37, 18,733.19 and 12,578.73 is: 17,343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.37 : 18,733.19 = 12,578.73 : x
  2. Step 2: Convert to fraction form
    13,586.37/18,733.19 = 12,578.73/x
  3. Step 3: Cross multiply
    13,586.37x = 18,733.19 × 12,578.73
  4. Step 4: Simplify right side
    13,586.37x = 235,639,676.16
  5. Step 5: Solve for x
    x = 235,639,676.16/13,586.37
  6. Step 6: Final answer
    x = 17,343.83

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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.