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Finding the Fourth Proportional to 12,674.07, 17,485.92 and 7,636.41

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Solution

The fourth proportional to 12,674.07, 17,485.92 and 7,636.41 is: 10,535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.07 : 17,485.92 = 7,636.41 : x
  2. Step 2: Convert to fraction form
    12,674.07/17,485.92 = 7,636.41/x
  3. Step 3: Cross multiply
    12,674.07x = 17,485.92 × 7,636.41
  4. Step 4: Simplify right side
    12,674.07x = 133,529,654.35
  5. Step 5: Solve for x
    x = 133,529,654.35/12,674.07
  6. Step 6: Final answer
    x = 10,535.66

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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.