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Finding the Fourth Proportional to 24,586.69, 33,928.65 and 14,518.38

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Solution

The fourth proportional to 24,586.69, 33,928.65 and 14,518.38 is: 20,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,586.69 : 33,928.65 = 14,518.38 : x
  2. Step 2: Convert to fraction form
    24,586.69/33,928.65 = 14,518.38/x
  3. Step 3: Cross multiply
    24,586.69x = 33,928.65 × 14,518.38
  4. Step 4: Simplify right side
    24,586.69x = 492,589,033.59
  5. Step 5: Solve for x
    x = 492,589,033.59/24,586.69
  6. Step 6: Final answer
    x = 20,034.78

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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.