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Finding the Fourth Proportional to 24,336.69, 33,585.12 and 13,724.25

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Solution

The fourth proportional to 24,336.69, 33,585.12 and 13,724.25 is: 18,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,336.69 : 33,585.12 = 13,724.25 : x
  2. Step 2: Convert to fraction form
    24,336.69/33,585.12 = 13,724.25/x
  3. Step 3: Cross multiply
    24,336.69x = 33,585.12 × 13,724.25
  4. Step 4: Simplify right side
    24,336.69x = 460,930,583.16
  5. Step 5: Solve for x
    x = 460,930,583.16/24,336.69
  6. Step 6: Final answer
    x = 18,939.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.