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Finding the Fourth Proportional to 38,009.94, 57,021.39 and 11,714.10

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Solution

The fourth proportional to 38,009.94, 57,021.39 and 11,714.10 is: 17,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.94 : 57,021.39 = 11,714.10 : x
  2. Step 2: Convert to fraction form
    38,009.94/57,021.39 = 11,714.10/x
  3. Step 3: Cross multiply
    38,009.94x = 57,021.39 × 11,714.10
  4. Step 4: Simplify right side
    38,009.94x = 667,954,264.60
  5. Step 5: Solve for x
    x = 667,954,264.60/38,009.94
  6. Step 6: Final answer
    x = 17,573.15

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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.