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Finding the Fourth Proportional to 14,163.84, 19,542.60 and 8,856

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Solution

The fourth proportional to 14,163.84, 19,542.60 and 8,856 is: 12,219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163.84 : 19,542.60 = 8,856 : x
  2. Step 2: Convert to fraction form
    14,163.84/19,542.60 = 8,856/x
  3. Step 3: Cross multiply
    14,163.84x = 19,542.60 × 8,856
  4. Step 4: Simplify right side
    14,163.84x = 173,069,265.60
  5. Step 5: Solve for x
    x = 173,069,265.60/14,163.84
  6. Step 6: Final answer
    x = 12,219.09

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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.