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Finding the Fourth Proportional to 15,846.50, 23,768.78 and 5,984.48

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Solution

The fourth proportional to 15,846.50, 23,768.78 and 5,984.48 is: 8,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.50 : 23,768.78 = 5,984.48 : x
  2. Step 2: Convert to fraction form
    15,846.50/23,768.78 = 5,984.48/x
  3. Step 3: Cross multiply
    15,846.50x = 23,768.78 × 5,984.48
  4. Step 4: Simplify right side
    15,846.50x = 142,243,788.53
  5. Step 5: Solve for x
    x = 142,243,788.53/15,846.50
  6. Step 6: Final answer
    x = 8,976.35

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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.