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Finding the Fourth Proportional to 12,115.84, 18,173.63 and 4,218.34

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Solution

The fourth proportional to 12,115.84, 18,173.63 and 4,218.34 is: 6,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.84 : 18,173.63 = 4,218.34 : x
  2. Step 2: Convert to fraction form
    12,115.84/18,173.63 = 4,218.34/x
  3. Step 3: Cross multiply
    12,115.84x = 18,173.63 × 4,218.34
  4. Step 4: Simplify right side
    12,115.84x = 76,662,515.49
  5. Step 5: Solve for x
    x = 76,662,515.49/12,115.84
  6. Step 6: Final answer
    x = 6,327.46

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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.