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Finding the Fourth Proportional to 21,154.10, 29,193.82 and 11,722.46

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Solution

The fourth proportional to 21,154.10, 29,193.82 and 11,722.46 is: 16,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.10 : 29,193.82 = 11,722.46 : x
  2. Step 2: Convert to fraction form
    21,154.10/29,193.82 = 11,722.46/x
  3. Step 3: Cross multiply
    21,154.10x = 29,193.82 × 11,722.46
  4. Step 4: Simplify right side
    21,154.10x = 342,223,211.92
  5. Step 5: Solve for x
    x = 342,223,211.92/21,154.10
  6. Step 6: Final answer
    x = 16,177.63

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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.