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Finding the Fourth Proportional to 21,968.94, 30,311.91 and 12,409.02

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Solution

The fourth proportional to 21,968.94, 30,311.91 and 12,409.02 is: 17,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,968.94 : 30,311.91 = 12,409.02 : x
  2. Step 2: Convert to fraction form
    21,968.94/30,311.91 = 12,409.02/x
  3. Step 3: Cross multiply
    21,968.94x = 30,311.91 × 12,409.02
  4. Step 4: Simplify right side
    21,968.94x = 376,141,097.43
  5. Step 5: Solve for x
    x = 376,141,097.43/21,968.94
  6. Step 6: Final answer
    x = 17,121.50

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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.