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Finding the Fourth Proportional to 21,105.84, 29,124.09 and 11,674.20

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Solution

The fourth proportional to 21,105.84, 29,124.09 and 11,674.20 is: 16,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.84 : 29,124.09 = 11,674.20 : x
  2. Step 2: Convert to fraction form
    21,105.84/29,124.09 = 11,674.20/x
  3. Step 3: Cross multiply
    21,105.84x = 29,124.09 × 11,674.20
  4. Step 4: Simplify right side
    21,105.84x = 340,000,451.48
  5. Step 5: Solve for x
    x = 340,000,451.48/21,105.84
  6. Step 6: Final answer
    x = 16,109.31

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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.