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Finding the Fourth Proportional to 15,984.50, 23,991.51 and 8,092.56

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Solution

The fourth proportional to 15,984.50, 23,991.51 and 8,092.56 is: 12,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984.50 : 23,991.51 = 8,092.56 : x
  2. Step 2: Convert to fraction form
    15,984.50/23,991.51 = 8,092.56/x
  3. Step 3: Cross multiply
    15,984.50x = 23,991.51 × 8,092.56
  4. Step 4: Simplify right side
    15,984.50x = 194,152,719.53
  5. Step 5: Solve for x
    x = 194,152,719.53/15,984.50
  6. Step 6: Final answer
    x = 12,146.32

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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.