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Finding the Fourth Proportional to 15,512.66, 23,268.66 and 3,825.98

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Solution

The fourth proportional to 15,512.66, 23,268.66 and 3,825.98 is: 5,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,512.66 : 23,268.66 = 3,825.98 : x
  2. Step 2: Convert to fraction form
    15,512.66/23,268.66 = 3,825.98/x
  3. Step 3: Cross multiply
    15,512.66x = 23,268.66 × 3,825.98
  4. Step 4: Simplify right side
    15,512.66x = 89,025,427.79
  5. Step 5: Solve for x
    x = 89,025,427.79/15,512.66
  6. Step 6: Final answer
    x = 5,738.89

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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.