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Finding the Fourth Proportional to 12,145.20, 18,214.20 and 4,745.40

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Solution

The fourth proportional to 12,145.20, 18,214.20 and 4,745.40 is: 7,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.20 : 18,214.20 = 4,745.40 : x
  2. Step 2: Convert to fraction form
    12,145.20/18,214.20 = 4,745.40/x
  3. Step 3: Cross multiply
    12,145.20x = 18,214.20 × 4,745.40
  4. Step 4: Simplify right side
    12,145.20x = 86,433,664.68
  5. Step 5: Solve for x
    x = 86,433,664.68/12,145.20
  6. Step 6: Final answer
    x = 7,116.69

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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.