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Finding the Fourth Proportional to 15,881.96, 23,815.26 and 4,786.58

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Solution

The fourth proportional to 15,881.96, 23,815.26 and 4,786.58 is: 7,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,881.96 : 23,815.26 = 4,786.58 : x
  2. Step 2: Convert to fraction form
    15,881.96/23,815.26 = 4,786.58/x
  3. Step 3: Cross multiply
    15,881.96x = 23,815.26 × 4,786.58
  4. Step 4: Simplify right side
    15,881.96x = 113,993,647.21
  5. Step 5: Solve for x
    x = 113,993,647.21/15,881.96
  6. Step 6: Final answer
    x = 7,177.56

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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.