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Finding the Fourth Proportional to 12,744.14, 19,101.49 and 4,946.34

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Solution

The fourth proportional to 12,744.14, 19,101.49 and 4,946.34 is: 7,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.14 : 19,101.49 = 4,946.34 : x
  2. Step 2: Convert to fraction form
    12,744.14/19,101.49 = 4,946.34/x
  3. Step 3: Cross multiply
    12,744.14x = 19,101.49 × 4,946.34
  4. Step 4: Simplify right side
    12,744.14x = 94,482,464.05
  5. Step 5: Solve for x
    x = 94,482,464.05/12,744.14
  6. Step 6: Final answer
    x = 7,413.80

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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.