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Finding the Fourth Proportional to 21,969.12, 30,314.96 and 12,407.99

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Solution

The fourth proportional to 21,969.12, 30,314.96 and 12,407.99 is: 17,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969.12 : 30,314.96 = 12,407.99 : x
  2. Step 2: Convert to fraction form
    21,969.12/30,314.96 = 12,407.99/x
  3. Step 3: Cross multiply
    21,969.12x = 30,314.96 × 12,407.99
  4. Step 4: Simplify right side
    21,969.12x = 376,147,553.45
  5. Step 5: Solve for x
    x = 376,147,553.45/21,969.12
  6. Step 6: Final answer
    x = 17,121.65

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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.