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Finding the Fourth Proportional to 12,205.68, 18,308.34 and 4,412.58

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Solution

The fourth proportional to 12,205.68, 18,308.34 and 4,412.58 is: 6,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.68 : 18,308.34 = 4,412.58 : x
  2. Step 2: Convert to fraction form
    12,205.68/18,308.34 = 4,412.58/x
  3. Step 3: Cross multiply
    12,205.68x = 18,308.34 × 4,412.58
  4. Step 4: Simplify right side
    12,205.68x = 80,787,014.92
  5. Step 5: Solve for x
    x = 80,787,014.92/12,205.68
  6. Step 6: Final answer
    x = 6,618.80

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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.