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Finding the Fourth Proportional to 12,189.67, 18,284.50 and 4,290.32

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Solution

The fourth proportional to 12,189.67, 18,284.50 and 4,290.32 is: 6,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.67 : 18,284.50 = 4,290.32 : x
  2. Step 2: Convert to fraction form
    12,189.67/18,284.50 = 4,290.32/x
  3. Step 3: Cross multiply
    12,189.67x = 18,284.50 × 4,290.32
  4. Step 4: Simplify right side
    12,189.67x = 78,446,407.11
  5. Step 5: Solve for x
    x = 78,446,407.11/12,189.67
  6. Step 6: Final answer
    x = 6,435.48

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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.