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Finding the Fourth Proportional to 19,986.47, 29,946.90 and 6,831.67

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Solution

The fourth proportional to 19,986.47, 29,946.90 and 6,831.67 is: 10,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,986.47 : 29,946.90 = 6,831.67 : x
  2. Step 2: Convert to fraction form
    19,986.47/29,946.90 = 6,831.67/x
  3. Step 3: Cross multiply
    19,986.47x = 29,946.90 × 6,831.67
  4. Step 4: Simplify right side
    19,986.47x = 204,587,251.39
  5. Step 5: Solve for x
    x = 204,587,251.39/19,986.47
  6. Step 6: Final answer
    x = 10,236.29

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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.