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Finding the Fourth Proportional to 25,219.86, 37,829.77 and 8,348.33

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Solution

The fourth proportional to 25,219.86, 37,829.77 and 8,348.33 is: 12,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,219.86 : 37,829.77 = 8,348.33 : x
  2. Step 2: Convert to fraction form
    25,219.86/37,829.77 = 8,348.33/x
  3. Step 3: Cross multiply
    25,219.86x = 37,829.77 × 8,348.33
  4. Step 4: Simplify right side
    25,219.86x = 315,815,477.49
  5. Step 5: Solve for x
    x = 315,815,477.49/25,219.86
  6. Step 6: Final answer
    x = 12,522.49

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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.