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Finding the Fourth Proportional to 17,283.20, 25,921.74 and 6,189.98

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Solution

The fourth proportional to 17,283.20, 25,921.74 and 6,189.98 is: 9,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283.20 : 25,921.74 = 6,189.98 : x
  2. Step 2: Convert to fraction form
    17,283.20/25,921.74 = 6,189.98/x
  3. Step 3: Cross multiply
    17,283.20x = 25,921.74 × 6,189.98
  4. Step 4: Simplify right side
    17,283.20x = 160,455,052.17
  5. Step 5: Solve for x
    x = 160,455,052.17/17,283.20
  6. Step 6: Final answer
    x = 9,283.87

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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.