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Finding the Fourth Proportional to 15,900.67, 23,825.08 and 8,098.75

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Solution

The fourth proportional to 15,900.67, 23,825.08 and 8,098.75 is: 12,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900.67 : 23,825.08 = 8,098.75 : x
  2. Step 2: Convert to fraction form
    15,900.67/23,825.08 = 8,098.75/x
  3. Step 3: Cross multiply
    15,900.67x = 23,825.08 × 8,098.75
  4. Step 4: Simplify right side
    15,900.67x = 192,953,366.65
  5. Step 5: Solve for x
    x = 192,953,366.65/15,900.67
  6. Step 6: Final answer
    x = 12,134.92

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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.