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Finding the Fourth Proportional to 15,825.96, 23,736.24 and 5,295.24

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Solution

The fourth proportional to 15,825.96, 23,736.24 and 5,295.24 is: 7,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.96 : 23,736.24 = 5,295.24 : x
  2. Step 2: Convert to fraction form
    15,825.96/23,736.24 = 5,295.24/x
  3. Step 3: Cross multiply
    15,825.96x = 23,736.24 × 5,295.24
  4. Step 4: Simplify right side
    15,825.96x = 125,689,087.50
  5. Step 5: Solve for x
    x = 125,689,087.50/15,825.96
  6. Step 6: Final answer
    x = 7,941.96

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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.