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Finding the Fourth Proportional to 24,232.60, 33,443.97 and 13,622

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Solution

The fourth proportional to 24,232.60, 33,443.97 and 13,622 is: 18,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232.60 : 33,443.97 = 13,622 : x
  2. Step 2: Convert to fraction form
    24,232.60/33,443.97 = 13,622/x
  3. Step 3: Cross multiply
    24,232.60x = 33,443.97 × 13,622
  4. Step 4: Simplify right side
    24,232.60x = 455,573,759.34
  5. Step 5: Solve for x
    x = 455,573,759.34/24,232.60
  6. Step 6: Final answer
    x = 18,800.04

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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.