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Finding the Fourth Proportional to 24,269.85, 33,494.45 and 14,203.71

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Solution

The fourth proportional to 24,269.85, 33,494.45 and 14,203.71 is: 19,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269.85 : 33,494.45 = 14,203.71 : x
  2. Step 2: Convert to fraction form
    24,269.85/33,494.45 = 14,203.71/x
  3. Step 3: Cross multiply
    24,269.85x = 33,494.45 × 14,203.71
  4. Step 4: Simplify right side
    24,269.85x = 475,745,383.39
  5. Step 5: Solve for x
    x = 475,745,383.39/24,269.85
  6. Step 6: Final answer
    x = 19,602.32

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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.