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Finding the Fourth Proportional to 15,843.47, 23,768.31 and 4,749.32

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Solution

The fourth proportional to 15,843.47, 23,768.31 and 4,749.32 is: 7,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.47 : 23,768.31 = 4,749.32 : x
  2. Step 2: Convert to fraction form
    15,843.47/23,768.31 = 4,749.32/x
  3. Step 3: Cross multiply
    15,843.47x = 23,768.31 × 4,749.32
  4. Step 4: Simplify right side
    15,843.47x = 112,883,310.05
  5. Step 5: Solve for x
    x = 112,883,310.05/15,843.47
  6. Step 6: Final answer
    x = 7,124.91

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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.