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Finding the Fourth Proportional to 17,684.42, 24,414.59 and 11,724.16

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Solution

The fourth proportional to 17,684.42, 24,414.59 and 11,724.16 is: 16,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.42 : 24,414.59 = 11,724.16 : x
  2. Step 2: Convert to fraction form
    17,684.42/24,414.59 = 11,724.16/x
  3. Step 3: Cross multiply
    17,684.42x = 24,414.59 × 11,724.16
  4. Step 4: Simplify right side
    17,684.42x = 286,240,559.49
  5. Step 5: Solve for x
    x = 286,240,559.49/17,684.42
  6. Step 6: Final answer
    x = 16,186.03

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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.