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Finding the Fourth Proportional to 15,896.52, 23,847.29 and 4,801.83

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Solution

The fourth proportional to 15,896.52, 23,847.29 and 4,801.83 is: 7,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.52 : 23,847.29 = 4,801.83 : x
  2. Step 2: Convert to fraction form
    15,896.52/23,847.29 = 4,801.83/x
  3. Step 3: Cross multiply
    15,896.52x = 23,847.29 × 4,801.83
  4. Step 4: Simplify right side
    15,896.52x = 114,510,632.54
  5. Step 5: Solve for x
    x = 114,510,632.54/15,896.52
  6. Step 6: Final answer
    x = 7,203.50

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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.