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Finding the Fourth Proportional to 24,384, 33,650.16 and 13,206.24

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Solution

The fourth proportional to 24,384, 33,650.16 and 13,206.24 is: 18,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384 : 33,650.16 = 13,206.24 : x
  2. Step 2: Convert to fraction form
    24,384/33,650.16 = 13,206.24/x
  3. Step 3: Cross multiply
    24,384x = 33,650.16 × 13,206.24
  4. Step 4: Simplify right side
    24,384x = 444,392,089.00
  5. Step 5: Solve for x
    x = 444,392,089.00/24,384
  6. Step 6: Final answer
    x = 18,224.74

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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.