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Finding the Fourth Proportional to 13,675.13, 18,871.38 and 7,706.75

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Solution

The fourth proportional to 13,675.13, 18,871.38 and 7,706.75 is: 10,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.13 : 18,871.38 = 7,706.75 : x
  2. Step 2: Convert to fraction form
    13,675.13/18,871.38 = 7,706.75/x
  3. Step 3: Cross multiply
    13,675.13x = 18,871.38 × 7,706.75
  4. Step 4: Simplify right side
    13,675.13x = 145,436,913.46
  5. Step 5: Solve for x
    x = 145,436,913.46/13,675.13
  6. Step 6: Final answer
    x = 10,635.14

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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.