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Finding the Fourth Proportional to 38,540.37, 57,810.69 and 10,838.37

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Solution

The fourth proportional to 38,540.37, 57,810.69 and 10,838.37 is: 16,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540.37 : 57,810.69 = 10,838.37 : x
  2. Step 2: Convert to fraction form
    38,540.37/57,810.69 = 10,838.37/x
  3. Step 3: Cross multiply
    38,540.37x = 57,810.69 × 10,838.37
  4. Step 4: Simplify right side
    38,540.37x = 626,573,648.18
  5. Step 5: Solve for x
    x = 626,573,648.18/38,540.37
  6. Step 6: Final answer
    x = 16,257.59

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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.