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Finding the Fourth Proportional to 38,200.26, 57,260.97 and 16,026.51

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Solution

The fourth proportional to 38,200.26, 57,260.97 and 16,026.51 is: 24,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.26 : 57,260.97 = 16,026.51 : x
  2. Step 2: Convert to fraction form
    38,200.26/57,260.97 = 16,026.51/x
  3. Step 3: Cross multiply
    38,200.26x = 57,260.97 × 16,026.51
  4. Step 4: Simplify right side
    38,200.26x = 917,693,508.31
  5. Step 5: Solve for x
    x = 917,693,508.31/38,200.26
  6. Step 6: Final answer
    x = 24,023.23

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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.