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Finding the Fourth Proportional to 16,076.70, 22,182.25 and 9,704.32

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Solution

The fourth proportional to 16,076.70, 22,182.25 and 9,704.32 is: 13,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.70 : 22,182.25 = 9,704.32 : x
  2. Step 2: Convert to fraction form
    16,076.70/22,182.25 = 9,704.32/x
  3. Step 3: Cross multiply
    16,076.70x = 22,182.25 × 9,704.32
  4. Step 4: Simplify right side
    16,076.70x = 215,263,652.32
  5. Step 5: Solve for x
    x = 215,263,652.32/16,076.70
  6. Step 6: Final answer
    x = 13,389.79

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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.