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Finding the Fourth Proportional to 17,883.78, 26,815.22 and 5,400.06

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Solution

The fourth proportional to 17,883.78, 26,815.22 and 5,400.06 is: 8,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,883.78 : 26,815.22 = 5,400.06 : x
  2. Step 2: Convert to fraction form
    17,883.78/26,815.22 = 5,400.06/x
  3. Step 3: Cross multiply
    17,883.78x = 26,815.22 × 5,400.06
  4. Step 4: Simplify right side
    17,883.78x = 144,803,796.91
  5. Step 5: Solve for x
    x = 144,803,796.91/17,883.78
  6. Step 6: Final answer
    x = 8,096.93

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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.