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Finding the Fourth Proportional to 15,381.54, 23,057.73 and 4,986

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Solution

The fourth proportional to 15,381.54, 23,057.73 and 4,986 is: 7,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,381.54 : 23,057.73 = 4,986 : x
  2. Step 2: Convert to fraction form
    15,381.54/23,057.73 = 4,986/x
  3. Step 3: Cross multiply
    15,381.54x = 23,057.73 × 4,986
  4. Step 4: Simplify right side
    15,381.54x = 114,965,841.78
  5. Step 5: Solve for x
    x = 114,965,841.78/15,381.54
  6. Step 6: Final answer
    x = 7,474.27

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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.