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Finding the Fourth Proportional to 24,338.35, 33,594.11 and 14,268.97

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Solution

The fourth proportional to 24,338.35, 33,594.11 and 14,268.97 is: 19,695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,338.35 : 33,594.11 = 14,268.97 : x
  2. Step 2: Convert to fraction form
    24,338.35/33,594.11 = 14,268.97/x
  3. Step 3: Cross multiply
    24,338.35x = 33,594.11 × 14,268.97
  4. Step 4: Simplify right side
    24,338.35x = 479,353,347.77
  5. Step 5: Solve for x
    x = 479,353,347.77/24,338.35
  6. Step 6: Final answer
    x = 19,695.39

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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.