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Finding the Fourth Proportional to 13,706.30, 20,552.97 and 6,308.57

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Solution

The fourth proportional to 13,706.30, 20,552.97 and 6,308.57 is: 9,459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.30 : 20,552.97 = 6,308.57 : x
  2. Step 2: Convert to fraction form
    13,706.30/20,552.97 = 6,308.57/x
  3. Step 3: Cross multiply
    13,706.30x = 20,552.97 × 6,308.57
  4. Step 4: Simplify right side
    13,706.30x = 129,659,917.11
  5. Step 5: Solve for x
    x = 129,659,917.11/13,706.30
  6. Step 6: Final answer
    x = 9,459.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.