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Finding the Fourth Proportional to 24,164.91, 33,345.85 and 13,410.36

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Solution

The fourth proportional to 24,164.91, 33,345.85 and 13,410.36 is: 18,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,164.91 : 33,345.85 = 13,410.36 : x
  2. Step 2: Convert to fraction form
    24,164.91/33,345.85 = 13,410.36/x
  3. Step 3: Cross multiply
    24,164.91x = 33,345.85 × 13,410.36
  4. Step 4: Simplify right side
    24,164.91x = 447,179,853.01
  5. Step 5: Solve for x
    x = 447,179,853.01/24,164.91
  6. Step 6: Final answer
    x = 18,505.34

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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.