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Finding the Fourth Proportional to 12,415.29, 18,622.86 and 5,394.39

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Solution

The fourth proportional to 12,415.29, 18,622.86 and 5,394.39 is: 8,091.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.29 : 18,622.86 = 5,394.39 : x
  2. Step 2: Convert to fraction form
    12,415.29/18,622.86 = 5,394.39/x
  3. Step 3: Cross multiply
    12,415.29x = 18,622.86 × 5,394.39
  4. Step 4: Simplify right side
    12,415.29x = 100,458,969.76
  5. Step 5: Solve for x
    x = 100,458,969.76/12,415.29
  6. Step 6: Final answer
    x = 8,091.55

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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.