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Finding the Fourth Proportional to 41,596.50, 62,394.75 and 13,894.50

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Solution

The fourth proportional to 41,596.50, 62,394.75 and 13,894.50 is: 20,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,596.50 : 62,394.75 = 13,894.50 : x
  2. Step 2: Convert to fraction form
    41,596.50/62,394.75 = 13,894.50/x
  3. Step 3: Cross multiply
    41,596.50x = 62,394.75 × 13,894.50
  4. Step 4: Simplify right side
    41,596.50x = 866,943,853.88
  5. Step 5: Solve for x
    x = 866,943,853.88/41,596.50
  6. Step 6: Final answer
    x = 20,841.75

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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.