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Finding the Fourth Proportional to 16,283.85, 22,470.64 and 9,112.56

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Solution

The fourth proportional to 16,283.85, 22,470.64 and 9,112.56 is: 12,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.85 : 22,470.64 = 9,112.56 : x
  2. Step 2: Convert to fraction form
    16,283.85/22,470.64 = 9,112.56/x
  3. Step 3: Cross multiply
    16,283.85x = 22,470.64 × 9,112.56
  4. Step 4: Simplify right side
    16,283.85x = 204,765,055.24
  5. Step 5: Solve for x
    x = 204,765,055.24/16,283.85
  6. Step 6: Final answer
    x = 12,574.73

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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.