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Finding the Fourth Proportional to 12,590.54, 18,885.92 and 3,825.46

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Solution

The fourth proportional to 12,590.54, 18,885.92 and 3,825.46 is: 5,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.54 : 18,885.92 = 3,825.46 : x
  2. Step 2: Convert to fraction form
    12,590.54/18,885.92 = 3,825.46/x
  3. Step 3: Cross multiply
    12,590.54x = 18,885.92 × 3,825.46
  4. Step 4: Simplify right side
    12,590.54x = 72,247,331.52
  5. Step 5: Solve for x
    x = 72,247,331.52/12,590.54
  6. Step 6: Final answer
    x = 5,738.22

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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.