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Finding the Fourth Proportional to 25,047.75, 37,572.23 and 8,408.32

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Solution

The fourth proportional to 25,047.75, 37,572.23 and 8,408.32 is: 12,612.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,047.75 : 37,572.23 = 8,408.32 : x
  2. Step 2: Convert to fraction form
    25,047.75/37,572.23 = 8,408.32/x
  3. Step 3: Cross multiply
    25,047.75x = 37,572.23 × 8,408.32
  4. Step 4: Simplify right side
    25,047.75x = 315,919,447.74
  5. Step 5: Solve for x
    x = 315,919,447.74/25,047.75
  6. Step 6: Final answer
    x = 12,612.69

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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.