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Finding the Fourth Proportional to 12,961.26, 19,437 and 4,193.82

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Solution

The fourth proportional to 12,961.26, 19,437 and 4,193.82 is: 6,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.26 : 19,437 = 4,193.82 : x
  2. Step 2: Convert to fraction form
    12,961.26/19,437 = 4,193.82/x
  3. Step 3: Cross multiply
    12,961.26x = 19,437 × 4,193.82
  4. Step 4: Simplify right side
    12,961.26x = 81,515,279.34
  5. Step 5: Solve for x
    x = 81,515,279.34/12,961.26
  6. Step 6: Final answer
    x = 6,289.15

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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.