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Finding the Fourth Proportional to 21,174.84, 29,220.30 and 11,743.20

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Solution

The fourth proportional to 21,174.84, 29,220.30 and 11,743.20 is: 16,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.84 : 29,220.30 = 11,743.20 : x
  2. Step 2: Convert to fraction form
    21,174.84/29,220.30 = 11,743.20/x
  3. Step 3: Cross multiply
    21,174.84x = 29,220.30 × 11,743.20
  4. Step 4: Simplify right side
    21,174.84x = 343,139,826.96
  5. Step 5: Solve for x
    x = 343,139,826.96/21,174.84
  6. Step 6: Final answer
    x = 16,205.07

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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.