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Finding the Fourth Proportional to 23,758.46, 35,642.55 and 8,174.06

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Solution

The fourth proportional to 23,758.46, 35,642.55 and 8,174.06 is: 12,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758.46 : 35,642.55 = 8,174.06 : x
  2. Step 2: Convert to fraction form
    23,758.46/35,642.55 = 8,174.06/x
  3. Step 3: Cross multiply
    23,758.46x = 35,642.55 × 8,174.06
  4. Step 4: Simplify right side
    23,758.46x = 291,344,342.25
  5. Step 5: Solve for x
    x = 291,344,342.25/23,758.46
  6. Step 6: Final answer
    x = 12,262.76

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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.