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Finding the Fourth Proportional to 38,026.78, 57,021.13 and 11,728.10

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Solution

The fourth proportional to 38,026.78, 57,021.13 and 11,728.10 is: 17,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,026.78 : 57,021.13 = 11,728.10 : x
  2. Step 2: Convert to fraction form
    38,026.78/57,021.13 = 11,728.10/x
  3. Step 3: Cross multiply
    38,026.78x = 57,021.13 × 11,728.10
  4. Step 4: Simplify right side
    38,026.78x = 668,749,514.75
  5. Step 5: Solve for x
    x = 668,749,514.75/38,026.78
  6. Step 6: Final answer
    x = 17,586.28

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