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Finding the Fourth Proportional to 15,850.56, 23,784.05 and 8,059.38

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Solution

The fourth proportional to 15,850.56, 23,784.05 and 8,059.38 is: 12,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,850.56 : 23,784.05 = 8,059.38 : x
  2. Step 2: Convert to fraction form
    15,850.56/23,784.05 = 8,059.38/x
  3. Step 3: Cross multiply
    15,850.56x = 23,784.05 × 8,059.38
  4. Step 4: Simplify right side
    15,850.56x = 191,684,696.89
  5. Step 5: Solve for x
    x = 191,684,696.89/15,850.56
  6. Step 6: Final answer
    x = 12,093.24

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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.