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Finding the Fourth Proportional to 12,662.66, 18,998.42 and 5,643.30

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Solution

The fourth proportional to 12,662.66, 18,998.42 and 5,643.30 is: 8,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.66 : 18,998.42 = 5,643.30 : x
  2. Step 2: Convert to fraction form
    12,662.66/18,998.42 = 5,643.30/x
  3. Step 3: Cross multiply
    12,662.66x = 18,998.42 × 5,643.30
  4. Step 4: Simplify right side
    12,662.66x = 107,213,783.59
  5. Step 5: Solve for x
    x = 107,213,783.59/12,662.66
  6. Step 6: Final answer
    x = 8,466.92

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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.