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Finding the Fourth Proportional to 21,153.64, 29,192.52 and 11,722

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Solution

The fourth proportional to 21,153.64, 29,192.52 and 11,722 is: 16,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,153.64 : 29,192.52 = 11,722 : x
  2. Step 2: Convert to fraction form
    21,153.64/29,192.52 = 11,722/x
  3. Step 3: Cross multiply
    21,153.64x = 29,192.52 × 11,722
  4. Step 4: Simplify right side
    21,153.64x = 342,194,719.44
  5. Step 5: Solve for x
    x = 342,194,719.44/21,153.64
  6. Step 6: Final answer
    x = 16,176.64

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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.