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Finding the Fourth Proportional to 13,940.01, 19,232.53 and 7,967.46

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Solution

The fourth proportional to 13,940.01, 19,232.53 and 7,967.46 is: 10,992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.01 : 19,232.53 = 7,967.46 : x
  2. Step 2: Convert to fraction form
    13,940.01/19,232.53 = 7,967.46/x
  3. Step 3: Cross multiply
    13,940.01x = 19,232.53 × 7,967.46
  4. Step 4: Simplify right side
    13,940.01x = 153,234,413.47
  5. Step 5: Solve for x
    x = 153,234,413.47/13,940.01
  6. Step 6: Final answer
    x = 10,992.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.