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Finding the Fourth Proportional to 12,674.27, 17,486.16 and 7,636.59

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Solution

The fourth proportional to 12,674.27, 17,486.16 and 7,636.59 is: 10,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.27 : 17,486.16 = 7,636.59 : x
  2. Step 2: Convert to fraction form
    12,674.27/17,486.16 = 7,636.59/x
  3. Step 3: Cross multiply
    12,674.27x = 17,486.16 × 7,636.59
  4. Step 4: Simplify right side
    12,674.27x = 133,534,634.59
  5. Step 5: Solve for x
    x = 133,534,634.59/12,674.27
  6. Step 6: Final answer
    x = 10,535.88

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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.