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Finding the Fourth Proportional to 15,636.44, 23,455.74 and 5,249

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Solution

The fourth proportional to 15,636.44, 23,455.74 and 5,249 is: 7,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,636.44 : 23,455.74 = 5,249 : x
  2. Step 2: Convert to fraction form
    15,636.44/23,455.74 = 5,249/x
  3. Step 3: Cross multiply
    15,636.44x = 23,455.74 × 5,249
  4. Step 4: Simplify right side
    15,636.44x = 123,119,179.26
  5. Step 5: Solve for x
    x = 123,119,179.26/15,636.44
  6. Step 6: Final answer
    x = 7,873.86

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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.