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Finding the Fourth Proportional to 13,735.42, 18,951.70 and 9,267.46

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Solution

The fourth proportional to 13,735.42, 18,951.70 and 9,267.46 is: 12,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.42 : 18,951.70 = 9,267.46 : x
  2. Step 2: Convert to fraction form
    13,735.42/18,951.70 = 9,267.46/x
  3. Step 3: Cross multiply
    13,735.42x = 18,951.70 × 9,267.46
  4. Step 4: Simplify right side
    13,735.42x = 175,634,121.68
  5. Step 5: Solve for x
    x = 175,634,121.68/13,735.42
  6. Step 6: Final answer
    x = 12,786.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.