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Finding the Fourth Proportional to 12,197.33, 18,295.99 and 4,797.74

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Solution

The fourth proportional to 12,197.33, 18,295.99 and 4,797.74 is: 7,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.33 : 18,295.99 = 4,797.74 : x
  2. Step 2: Convert to fraction form
    12,197.33/18,295.99 = 4,797.74/x
  3. Step 3: Cross multiply
    12,197.33x = 18,295.99 × 4,797.74
  4. Step 4: Simplify right side
    12,197.33x = 87,779,436.81
  5. Step 5: Solve for x
    x = 87,779,436.81/12,197.33
  6. Step 6: Final answer
    x = 7,196.61

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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.