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Finding the Fourth Proportional to 12,164.72, 18,241.40 and 6,319.76

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Solution

The fourth proportional to 12,164.72, 18,241.40 and 6,319.76 is: 9,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.72 : 18,241.40 = 6,319.76 : x
  2. Step 2: Convert to fraction form
    12,164.72/18,241.40 = 6,319.76/x
  3. Step 3: Cross multiply
    12,164.72x = 18,241.40 × 6,319.76
  4. Step 4: Simplify right side
    12,164.72x = 115,281,194.66
  5. Step 5: Solve for x
    x = 115,281,194.66/12,164.72
  6. Step 6: Final answer
    x = 9,476.69

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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.