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Finding the Fourth Proportional to 12,597.26, 18,890.42 and 3,830.12

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Solution

The fourth proportional to 12,597.26, 18,890.42 and 3,830.12 is: 5,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.26 : 18,890.42 = 3,830.12 : x
  2. Step 2: Convert to fraction form
    12,597.26/18,890.42 = 3,830.12/x
  3. Step 3: Cross multiply
    12,597.26x = 18,890.42 × 3,830.12
  4. Step 4: Simplify right side
    12,597.26x = 72,352,461.85
  5. Step 5: Solve for x
    x = 72,352,461.85/12,597.26
  6. Step 6: Final answer
    x = 5,743.51

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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.