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Finding the Fourth Proportional to 13,720.88, 18,930.12 and 8,683.76

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Solution

The fourth proportional to 13,720.88, 18,930.12 and 8,683.76 is: 11,980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.88 : 18,930.12 = 8,683.76 : x
  2. Step 2: Convert to fraction form
    13,720.88/18,930.12 = 8,683.76/x
  3. Step 3: Cross multiply
    13,720.88x = 18,930.12 × 8,683.76
  4. Step 4: Simplify right side
    13,720.88x = 164,384,618.85
  5. Step 5: Solve for x
    x = 164,384,618.85/13,720.88
  6. Step 6: Final answer
    x = 11,980.62

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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.