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Finding the Fourth Proportional to 12,467.20, 18,688.80 and 7,196.80

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Solution

The fourth proportional to 12,467.20, 18,688.80 and 7,196.80 is: 10,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.20 : 18,688.80 = 7,196.80 : x
  2. Step 2: Convert to fraction form
    12,467.20/18,688.80 = 7,196.80/x
  3. Step 3: Cross multiply
    12,467.20x = 18,688.80 × 7,196.80
  4. Step 4: Simplify right side
    12,467.20x = 134,499,555.84
  5. Step 5: Solve for x
    x = 134,499,555.84/12,467.20
  6. Step 6: Final answer
    x = 10,788.27

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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.