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Finding the Fourth Proportional to 12,415.40, 18,617.22 and 4,512.40

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Solution

The fourth proportional to 12,415.40, 18,617.22 and 4,512.40 is: 6,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.40 : 18,617.22 = 4,512.40 : x
  2. Step 2: Convert to fraction form
    12,415.40/18,617.22 = 4,512.40/x
  3. Step 3: Cross multiply
    12,415.40x = 18,617.22 × 4,512.40
  4. Step 4: Simplify right side
    12,415.40x = 84,008,343.53
  5. Step 5: Solve for x
    x = 84,008,343.53/12,415.40
  6. Step 6: Final answer
    x = 6,766.46

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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.