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Finding the Fourth Proportional to 12,164.90, 18,241.27 and 5,585.47

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Solution

The fourth proportional to 12,164.90, 18,241.27 and 5,585.47 is: 8,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.90 : 18,241.27 = 5,585.47 : x
  2. Step 2: Convert to fraction form
    12,164.90/18,241.27 = 5,585.47/x
  3. Step 3: Cross multiply
    12,164.90x = 18,241.27 × 5,585.47
  4. Step 4: Simplify right side
    12,164.90x = 101,886,066.35
  5. Step 5: Solve for x
    x = 101,886,066.35/12,164.90
  6. Step 6: Final answer
    x = 8,375.41

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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.