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Finding the Fourth Proportional to 19,883.48, 29,824.54 and 5,092.54

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Solution

The fourth proportional to 19,883.48, 29,824.54 and 5,092.54 is: 7,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.48 : 29,824.54 = 5,092.54 : x
  2. Step 2: Convert to fraction form
    19,883.48/29,824.54 = 5,092.54/x
  3. Step 3: Cross multiply
    19,883.48x = 29,824.54 × 5,092.54
  4. Step 4: Simplify right side
    19,883.48x = 151,882,575.64
  5. Step 5: Solve for x
    x = 151,882,575.64/19,883.48
  6. Step 6: Final answer
    x = 7,638.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.