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Finding the Fourth Proportional to 21,634.50, 29,855.64 and 11,698.50

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Solution

The fourth proportional to 21,634.50, 29,855.64 and 11,698.50 is: 16,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.50 : 29,855.64 = 11,698.50 : x
  2. Step 2: Convert to fraction form
    21,634.50/29,855.64 = 11,698.50/x
  3. Step 3: Cross multiply
    21,634.50x = 29,855.64 × 11,698.50
  4. Step 4: Simplify right side
    21,634.50x = 349,266,204.54
  5. Step 5: Solve for x
    x = 349,266,204.54/21,634.50
  6. Step 6: Final answer
    x = 16,143.95

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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.