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Finding the Fourth Proportional to 13,679.82, 18,878.55 and 7,711.68

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Solution

The fourth proportional to 13,679.82, 18,878.55 and 7,711.68 is: 10,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.82 : 18,878.55 = 7,711.68 : x
  2. Step 2: Convert to fraction form
    13,679.82/18,878.55 = 7,711.68/x
  3. Step 3: Cross multiply
    13,679.82x = 18,878.55 × 7,711.68
  4. Step 4: Simplify right side
    13,679.82x = 145,585,336.46
  5. Step 5: Solve for x
    x = 145,585,336.46/13,679.82
  6. Step 6: Final answer
    x = 10,642.34

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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.