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Finding the Fourth Proportional to 12,190.98, 18,286.47 and 4,291.64

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Solution

The fourth proportional to 12,190.98, 18,286.47 and 4,291.64 is: 6,437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.98 : 18,286.47 = 4,291.64 : x
  2. Step 2: Convert to fraction form
    12,190.98/18,286.47 = 4,291.64/x
  3. Step 3: Cross multiply
    12,190.98x = 18,286.47 × 4,291.64
  4. Step 4: Simplify right side
    12,190.98x = 78,478,854.68
  5. Step 5: Solve for x
    x = 78,478,854.68/12,190.98
  6. Step 6: Final answer
    x = 6,437.45

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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.