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Finding the Fourth Proportional to 24,173.64, 33,359.09 and 13,417.88

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Solution

The fourth proportional to 24,173.64, 33,359.09 and 13,417.88 is: 18,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,173.64 : 33,359.09 = 13,417.88 : x
  2. Step 2: Convert to fraction form
    24,173.64/33,359.09 = 13,417.88/x
  3. Step 3: Cross multiply
    24,173.64x = 33,359.09 × 13,417.88
  4. Step 4: Simplify right side
    24,173.64x = 447,608,099.73
  5. Step 5: Solve for x
    x = 447,608,099.73/24,173.64
  6. Step 6: Final answer
    x = 18,516.38

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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.