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Finding the Fourth Proportional to 23,817.56, 35,729.99 and 6,288.76

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Solution

The fourth proportional to 23,817.56, 35,729.99 and 6,288.76 is: 9,434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817.56 : 35,729.99 = 6,288.76 : x
  2. Step 2: Convert to fraction form
    23,817.56/35,729.99 = 6,288.76/x
  3. Step 3: Cross multiply
    23,817.56x = 35,729.99 × 6,288.76
  4. Step 4: Simplify right side
    23,817.56x = 224,697,121.82
  5. Step 5: Solve for x
    x = 224,697,121.82/23,817.56
  6. Step 6: Final answer
    x = 9,434.09

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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.