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Finding the Fourth Proportional to 17,072.10, 23,558.02 and 9,517.84

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Solution

The fourth proportional to 17,072.10, 23,558.02 and 9,517.84 is: 13,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,072.10 : 23,558.02 = 9,517.84 : x
  2. Step 2: Convert to fraction form
    17,072.10/23,558.02 = 9,517.84/x
  3. Step 3: Cross multiply
    17,072.10x = 23,558.02 × 9,517.84
  4. Step 4: Simplify right side
    17,072.10x = 224,221,465.08
  5. Step 5: Solve for x
    x = 224,221,465.08/17,072.10
  6. Step 6: Final answer
    x = 13,133.80

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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.