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Finding the Fourth Proportional to 12,425.18, 18,640.47 and 7,163.60

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Solution

The fourth proportional to 12,425.18, 18,640.47 and 7,163.60 is: 10,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,425.18 : 18,640.47 = 7,163.60 : x
  2. Step 2: Convert to fraction form
    12,425.18/18,640.47 = 7,163.60/x
  3. Step 3: Cross multiply
    12,425.18x = 18,640.47 × 7,163.60
  4. Step 4: Simplify right side
    12,425.18x = 133,532,870.89
  5. Step 5: Solve for x
    x = 133,532,870.89/12,425.18
  6. Step 6: Final answer
    x = 10,746.96

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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.