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Finding the Fourth Proportional to 12,596.77, 18,895.06 and 3,831.67

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Solution

The fourth proportional to 12,596.77, 18,895.06 and 3,831.67 is: 5,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.77 : 18,895.06 = 3,831.67 : x
  2. Step 2: Convert to fraction form
    12,596.77/18,895.06 = 3,831.67/x
  3. Step 3: Cross multiply
    12,596.77x = 18,895.06 × 3,831.67
  4. Step 4: Simplify right side
    12,596.77x = 72,399,634.55
  5. Step 5: Solve for x
    x = 72,399,634.55/12,596.77
  6. Step 6: Final answer
    x = 5,747.48

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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.