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Finding the Fourth Proportional to 12,193.68, 18,276.41 and 5,606.04

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Solution

The fourth proportional to 12,193.68, 18,276.41 and 5,606.04 is: 8,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.68 : 18,276.41 = 5,606.04 : x
  2. Step 2: Convert to fraction form
    12,193.68/18,276.41 = 5,606.04/x
  3. Step 3: Cross multiply
    12,193.68x = 18,276.41 × 5,606.04
  4. Step 4: Simplify right side
    12,193.68x = 102,458,333.03
  5. Step 5: Solve for x
    x = 102,458,333.03/12,193.68
  6. Step 6: Final answer
    x = 8,402.57

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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.