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Finding the Fourth Proportional to 24,628, 33,986.84 and 13,450

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Solution

The fourth proportional to 24,628, 33,986.84 and 13,450 is: 18,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,628 : 33,986.84 = 13,450 : x
  2. Step 2: Convert to fraction form
    24,628/33,986.84 = 13,450/x
  3. Step 3: Cross multiply
    24,628x = 33,986.84 × 13,450
  4. Step 4: Simplify right side
    24,628x = 457,122,998.00
  5. Step 5: Solve for x
    x = 457,122,998.00/24,628
  6. Step 6: Final answer
    x = 18,561.11

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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.