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Finding the Fourth Proportional to 12,424.56, 18,640.08 and 7,162.80

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Solution

The fourth proportional to 12,424.56, 18,640.08 and 7,162.80 is: 10,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.56 : 18,640.08 = 7,162.80 : x
  2. Step 2: Convert to fraction form
    12,424.56/18,640.08 = 7,162.80/x
  3. Step 3: Cross multiply
    12,424.56x = 18,640.08 × 7,162.80
  4. Step 4: Simplify right side
    12,424.56x = 133,515,165.02
  5. Step 5: Solve for x
    x = 133,515,165.02/12,424.56
  6. Step 6: Final answer
    x = 10,746.07

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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.