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Finding the Fourth Proportional to 21,745.69, 30,008.21 and 12,314.28

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Solution

The fourth proportional to 21,745.69, 30,008.21 and 12,314.28 is: 16,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,745.69 : 30,008.21 = 12,314.28 : x
  2. Step 2: Convert to fraction form
    21,745.69/30,008.21 = 12,314.28/x
  3. Step 3: Cross multiply
    21,745.69x = 30,008.21 × 12,314.28
  4. Step 4: Simplify right side
    21,745.69x = 369,529,500.24
  5. Step 5: Solve for x
    x = 369,529,500.24/21,745.69
  6. Step 6: Final answer
    x = 16,993.23

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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.