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Finding the Fourth Proportional to 21,971.84, 30,321.05 and 11,900.30

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Solution

The fourth proportional to 21,971.84, 30,321.05 and 11,900.30 is: 16,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971.84 : 30,321.05 = 11,900.30 : x
  2. Step 2: Convert to fraction form
    21,971.84/30,321.05 = 11,900.30/x
  3. Step 3: Cross multiply
    21,971.84x = 30,321.05 × 11,900.30
  4. Step 4: Simplify right side
    21,971.84x = 360,829,380.21
  5. Step 5: Solve for x
    x = 360,829,380.21/21,971.84
  6. Step 6: Final answer
    x = 16,422.36

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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.