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Finding the Fourth Proportional to 15,846.78, 23,753.34 and 5,981.88

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Solution

The fourth proportional to 15,846.78, 23,753.34 and 5,981.88 is: 8,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.78 : 23,753.34 = 5,981.88 : x
  2. Step 2: Convert to fraction form
    15,846.78/23,753.34 = 5,981.88/x
  3. Step 3: Cross multiply
    15,846.78x = 23,753.34 × 5,981.88
  4. Step 4: Simplify right side
    15,846.78x = 142,089,629.48
  5. Step 5: Solve for x
    x = 142,089,629.48/15,846.78
  6. Step 6: Final answer
    x = 8,966.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.