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Finding the Fourth Proportional to 13,675.62, 18,871.82 and 7,708.50

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Solution

The fourth proportional to 13,675.62, 18,871.82 and 7,708.50 is: 10,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.62 : 18,871.82 = 7,708.50 : x
  2. Step 2: Convert to fraction form
    13,675.62/18,871.82 = 7,708.50/x
  3. Step 3: Cross multiply
    13,675.62x = 18,871.82 × 7,708.50
  4. Step 4: Simplify right side
    13,675.62x = 145,473,424.47
  5. Step 5: Solve for x
    x = 145,473,424.47/13,675.62
  6. Step 6: Final answer
    x = 10,637.43

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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.