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Finding the Fourth Proportional to 21,105.78, 29,124.44 and 11,674.50

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Solution

The fourth proportional to 21,105.78, 29,124.44 and 11,674.50 is: 16,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.78 : 29,124.44 = 11,674.50 : x
  2. Step 2: Convert to fraction form
    21,105.78/29,124.44 = 11,674.50/x
  3. Step 3: Cross multiply
    21,105.78x = 29,124.44 × 11,674.50
  4. Step 4: Simplify right side
    21,105.78x = 340,013,274.78
  5. Step 5: Solve for x
    x = 340,013,274.78/21,105.78
  6. Step 6: Final answer
    x = 16,109.96

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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.