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Finding the Fourth Proportional to 15,296, 21,076.16 and 14,244.16

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Solution

The fourth proportional to 15,296, 21,076.16 and 14,244.16 is: 19,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,296 : 21,076.16 = 14,244.16 : x
  2. Step 2: Convert to fraction form
    15,296/21,076.16 = 14,244.16/x
  3. Step 3: Cross multiply
    15,296x = 21,076.16 × 14,244.16
  4. Step 4: Simplify right side
    15,296x = 300,212,195.23
  5. Step 5: Solve for x
    x = 300,212,195.23/15,296
  6. Step 6: Final answer
    x = 19,626.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.