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Finding the Fourth Proportional to 12,464.69, 18,705.15 and 6,625.40

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Solution

The fourth proportional to 12,464.69, 18,705.15 and 6,625.40 is: 9,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.69 : 18,705.15 = 6,625.40 : x
  2. Step 2: Convert to fraction form
    12,464.69/18,705.15 = 6,625.40/x
  3. Step 3: Cross multiply
    12,464.69x = 18,705.15 × 6,625.40
  4. Step 4: Simplify right side
    12,464.69x = 123,929,100.81
  5. Step 5: Solve for x
    x = 123,929,100.81/12,464.69
  6. Step 6: Final answer
    x = 9,942.41

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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.