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Finding the Fourth Proportional to 15,854.74, 23,796.87 and 8,069.38

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Solution

The fourth proportional to 15,854.74, 23,796.87 and 8,069.38 is: 12,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.74 : 23,796.87 = 8,069.38 : x
  2. Step 2: Convert to fraction form
    15,854.74/23,796.87 = 8,069.38/x
  3. Step 3: Cross multiply
    15,854.74x = 23,796.87 × 8,069.38
  4. Step 4: Simplify right side
    15,854.74x = 192,025,986.84
  5. Step 5: Solve for x
    x = 192,025,986.84/15,854.74
  6. Step 6: Final answer
    x = 12,111.58

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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.