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Finding the Fourth Proportional to 21,224.84, 29,289.70 and 11,793.16

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Solution

The fourth proportional to 21,224.84, 29,289.70 and 11,793.16 is: 16,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.84 : 29,289.70 = 11,793.16 : x
  2. Step 2: Convert to fraction form
    21,224.84/29,289.70 = 11,793.16/x
  3. Step 3: Cross multiply
    21,224.84x = 29,289.70 × 11,793.16
  4. Step 4: Simplify right side
    21,224.84x = 345,418,118.45
  5. Step 5: Solve for x
    x = 345,418,118.45/21,224.84
  6. Step 6: Final answer
    x = 16,274.24

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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.