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Finding the Fourth Proportional to 13,030.50, 17,996.94 and 8,831.46

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Solution

The fourth proportional to 13,030.50, 17,996.94 and 8,831.46 is: 12,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.50 : 17,996.94 = 8,831.46 : x
  2. Step 2: Convert to fraction form
    13,030.50/17,996.94 = 8,831.46/x
  3. Step 3: Cross multiply
    13,030.50x = 17,996.94 × 8,831.46
  4. Step 4: Simplify right side
    13,030.50x = 158,939,255.73
  5. Step 5: Solve for x
    x = 158,939,255.73/13,030.50
  6. Step 6: Final answer
    x = 12,197.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.