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Finding the Fourth Proportional to 12,205.40, 18,308.10 and 4,412.39

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Solution

The fourth proportional to 12,205.40, 18,308.10 and 4,412.39 is: 6,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.40 : 18,308.10 = 4,412.39 : x
  2. Step 2: Convert to fraction form
    12,205.40/18,308.10 = 4,412.39/x
  3. Step 3: Cross multiply
    12,205.40x = 18,308.10 × 4,412.39
  4. Step 4: Simplify right side
    12,205.40x = 80,782,477.36
  5. Step 5: Solve for x
    x = 80,782,477.36/12,205.40
  6. Step 6: Final answer
    x = 6,618.59

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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.