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Finding the Fourth Proportional to 38,564.26, 57,846.40 and 10,862.26

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Solution

The fourth proportional to 38,564.26, 57,846.40 and 10,862.26 is: 16,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564.26 : 57,846.40 = 10,862.26 : x
  2. Step 2: Convert to fraction form
    38,564.26/57,846.40 = 10,862.26/x
  3. Step 3: Cross multiply
    38,564.26x = 57,846.40 × 10,862.26
  4. Step 4: Simplify right side
    38,564.26x = 628,342,636.86
  5. Step 5: Solve for x
    x = 628,342,636.86/38,564.26
  6. Step 6: Final answer
    x = 16,293.39

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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.