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Finding the Fourth Proportional to 12,389.72, 18,586.22 and 6,546.56

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Solution

The fourth proportional to 12,389.72, 18,586.22 and 6,546.56 is: 9,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,389.72 : 18,586.22 = 6,546.56 : x
  2. Step 2: Convert to fraction form
    12,389.72/18,586.22 = 6,546.56/x
  3. Step 3: Cross multiply
    12,389.72x = 18,586.22 × 6,546.56
  4. Step 4: Simplify right side
    12,389.72x = 121,675,804.40
  5. Step 5: Solve for x
    x = 121,675,804.40/12,389.72
  6. Step 6: Final answer
    x = 9,820.71

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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.