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Finding the Fourth Proportional to 24,335.68, 33,583.74 and 13,723.28

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Solution

The fourth proportional to 24,335.68, 33,583.74 and 13,723.28 is: 18,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,335.68 : 33,583.74 = 13,723.28 : x
  2. Step 2: Convert to fraction form
    24,335.68/33,583.74 = 13,723.28/x
  3. Step 3: Cross multiply
    24,335.68x = 33,583.74 × 13,723.28
  4. Step 4: Simplify right side
    24,335.68x = 460,879,067.47
  5. Step 5: Solve for x
    x = 460,879,067.47/24,335.68
  6. Step 6: Final answer
    x = 18,938.41

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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.