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Finding the Fourth Proportional to 12,415.46, 17,133.27 and 7,383.54

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Solution

The fourth proportional to 12,415.46, 17,133.27 and 7,383.54 is: 10,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.46 : 17,133.27 = 7,383.54 : x
  2. Step 2: Convert to fraction form
    12,415.46/17,133.27 = 7,383.54/x
  3. Step 3: Cross multiply
    12,415.46x = 17,133.27 × 7,383.54
  4. Step 4: Simplify right side
    12,415.46x = 126,504,184.38
  5. Step 5: Solve for x
    x = 126,504,184.38/12,415.46
  6. Step 6: Final answer
    x = 10,189.25

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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.