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Finding the Fourth Proportional to 16,260.80, 22,438.74 and 9,546.70

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Solution

The fourth proportional to 16,260.80, 22,438.74 and 9,546.70 is: 13,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,260.80 : 22,438.74 = 9,546.70 : x
  2. Step 2: Convert to fraction form
    16,260.80/22,438.74 = 9,546.70/x
  3. Step 3: Cross multiply
    16,260.80x = 22,438.74 × 9,546.70
  4. Step 4: Simplify right side
    16,260.80x = 214,215,919.16
  5. Step 5: Solve for x
    x = 214,215,919.16/16,260.80
  6. Step 6: Final answer
    x = 13,173.76

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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.