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Finding the Fourth Proportional to 12,297.24, 18,412.98 and 6,441.54

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Solution

The fourth proportional to 12,297.24, 18,412.98 and 6,441.54 is: 9,645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.24 : 18,412.98 = 6,441.54 : x
  2. Step 2: Convert to fraction form
    12,297.24/18,412.98 = 6,441.54/x
  3. Step 3: Cross multiply
    12,297.24x = 18,412.98 × 6,441.54
  4. Step 4: Simplify right side
    12,297.24x = 118,607,947.19
  5. Step 5: Solve for x
    x = 118,607,947.19/12,297.24
  6. Step 6: Final answer
    x = 9,645.09

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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.