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Finding the Fourth Proportional to 24,485.72, 36,727.37 and 13,414.04

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Solution

The fourth proportional to 24,485.72, 36,727.37 and 13,414.04 is: 20,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,485.72 : 36,727.37 = 13,414.04 : x
  2. Step 2: Convert to fraction form
    24,485.72/36,727.37 = 13,414.04/x
  3. Step 3: Cross multiply
    24,485.72x = 36,727.37 × 13,414.04
  4. Step 4: Simplify right side
    24,485.72x = 492,662,159.57
  5. Step 5: Solve for x
    x = 492,662,159.57/24,485.72
  6. Step 6: Final answer
    x = 20,120.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.