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Finding the Fourth Proportional to 12,675.38, 17,491.70 and 7,010.35

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Solution

The fourth proportional to 12,675.38, 17,491.70 and 7,010.35 is: 9,674.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.38 : 17,491.70 = 7,010.35 : x
  2. Step 2: Convert to fraction form
    12,675.38/17,491.70 = 7,010.35/x
  3. Step 3: Cross multiply
    12,675.38x = 17,491.70 × 7,010.35
  4. Step 4: Simplify right side
    12,675.38x = 122,622,912.89
  5. Step 5: Solve for x
    x = 122,622,912.89/12,675.38
  6. Step 6: Final answer
    x = 9,674.11

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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.