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Finding the Fourth Proportional to 12,164.70, 18,243.45 and 4,764.90

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Solution

The fourth proportional to 12,164.70, 18,243.45 and 4,764.90 is: 7,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.70 : 18,243.45 = 4,764.90 : x
  2. Step 2: Convert to fraction form
    12,164.70/18,243.45 = 4,764.90/x
  3. Step 3: Cross multiply
    12,164.70x = 18,243.45 × 4,764.90
  4. Step 4: Simplify right side
    12,164.70x = 86,928,214.91
  5. Step 5: Solve for x
    x = 86,928,214.91/12,164.70
  6. Step 6: Final answer
    x = 7,145.94

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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.