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Finding the Fourth Proportional to 12,704, 17,531.52 and 7,736

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Solution

The fourth proportional to 12,704, 17,531.52 and 7,736 is: 10,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704 : 17,531.52 = 7,736 : x
  2. Step 2: Convert to fraction form
    12,704/17,531.52 = 7,736/x
  3. Step 3: Cross multiply
    12,704x = 17,531.52 × 7,736
  4. Step 4: Simplify right side
    12,704x = 135,623,838.72
  5. Step 5: Solve for x
    x = 135,623,838.72/12,704
  6. Step 6: Final answer
    x = 10,675.68

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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.