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Finding the Fourth Proportional to 24,502.38, 33,802.94 and 16,329.54

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Solution

The fourth proportional to 24,502.38, 33,802.94 and 16,329.54 is: 22,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,502.38 : 33,802.94 = 16,329.54 : x
  2. Step 2: Convert to fraction form
    24,502.38/33,802.94 = 16,329.54/x
  3. Step 3: Cross multiply
    24,502.38x = 33,802.94 × 16,329.54
  4. Step 4: Simplify right side
    24,502.38x = 551,986,460.85
  5. Step 5: Solve for x
    x = 551,986,460.85/24,502.38
  6. Step 6: Final answer
    x = 22,527.87

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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.