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Finding the Fourth Proportional to 20,647.56, 28,497.78 and 12,262.44

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Solution

The fourth proportional to 20,647.56, 28,497.78 and 12,262.44 is: 16,924.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.56 : 28,497.78 = 12,262.44 : x
  2. Step 2: Convert to fraction form
    20,647.56/28,497.78 = 12,262.44/x
  3. Step 3: Cross multiply
    20,647.56x = 28,497.78 × 12,262.44
  4. Step 4: Simplify right side
    20,647.56x = 349,452,317.38
  5. Step 5: Solve for x
    x = 349,452,317.38/20,647.56
  6. Step 6: Final answer
    x = 16,924.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.