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Finding the Fourth Proportional to 12,164.16, 18,246.60 and 4,770.48

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Solution

The fourth proportional to 12,164.16, 18,246.60 and 4,770.48 is: 7,155.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.16 : 18,246.60 = 4,770.48 : x
  2. Step 2: Convert to fraction form
    12,164.16/18,246.60 = 4,770.48/x
  3. Step 3: Cross multiply
    12,164.16x = 18,246.60 × 4,770.48
  4. Step 4: Simplify right side
    12,164.16x = 87,045,040.37
  5. Step 5: Solve for x
    x = 87,045,040.37/12,164.16
  6. Step 6: Final answer
    x = 7,155.86

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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.