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Finding the Fourth Proportional to 15,833.44, 23,753.44 and 4,739.68

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Solution

The fourth proportional to 15,833.44, 23,753.44 and 4,739.68 is: 7,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.44 : 23,753.44 = 4,739.68 : x
  2. Step 2: Convert to fraction form
    15,833.44/23,753.44 = 4,739.68/x
  3. Step 3: Cross multiply
    15,833.44x = 23,753.44 × 4,739.68
  4. Step 4: Simplify right side
    15,833.44x = 112,583,704.50
  5. Step 5: Solve for x
    x = 112,583,704.50/15,833.44
  6. Step 6: Final answer
    x = 7,110.50

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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.