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Finding the Fourth Proportional to 12,157, 18,237.26 and 3,834.20

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Solution

The fourth proportional to 12,157, 18,237.26 and 3,834.20 is: 5,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157 : 18,237.26 = 3,834.20 : x
  2. Step 2: Convert to fraction form
    12,157/18,237.26 = 3,834.20/x
  3. Step 3: Cross multiply
    12,157x = 18,237.26 × 3,834.20
  4. Step 4: Simplify right side
    12,157x = 69,925,302.29
  5. Step 5: Solve for x
    x = 69,925,302.29/12,157
  6. Step 6: Final answer
    x = 5,751.86

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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.