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Finding the Fourth Proportional to 12,189.80, 18,284.69 and 4,290.45

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Solution

The fourth proportional to 12,189.80, 18,284.69 and 4,290.45 is: 6,435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.80 : 18,284.69 = 4,290.45 : x
  2. Step 2: Convert to fraction form
    12,189.80/18,284.69 = 4,290.45/x
  3. Step 3: Cross multiply
    12,189.80x = 18,284.69 × 4,290.45
  4. Step 4: Simplify right side
    12,189.80x = 78,449,548.21
  5. Step 5: Solve for x
    x = 78,449,548.21/12,189.80
  6. Step 6: Final answer
    x = 6,435.67

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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.