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Finding the Fourth Proportional to 12,164.60, 18,247.44 and 4,768.40

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Solution

The fourth proportional to 12,164.60, 18,247.44 and 4,768.40 is: 7,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.60 : 18,247.44 = 4,768.40 : x
  2. Step 2: Convert to fraction form
    12,164.60/18,247.44 = 4,768.40/x
  3. Step 3: Cross multiply
    12,164.60x = 18,247.44 × 4,768.40
  4. Step 4: Simplify right side
    12,164.60x = 87,011,092.90
  5. Step 5: Solve for x
    x = 87,011,092.90/12,164.60
  6. Step 6: Final answer
    x = 7,152.81

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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.