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Finding the Fourth Proportional to 13,684.17, 20,526.54 and 6,286.62

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Solution

The fourth proportional to 13,684.17, 20,526.54 and 6,286.62 is: 9,430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.17 : 20,526.54 = 6,286.62 : x
  2. Step 2: Convert to fraction form
    13,684.17/20,526.54 = 6,286.62/x
  3. Step 3: Cross multiply
    13,684.17x = 20,526.54 × 6,286.62
  4. Step 4: Simplify right side
    13,684.17x = 129,042,556.89
  5. Step 5: Solve for x
    x = 129,042,556.89/13,684.17
  6. Step 6: Final answer
    x = 9,430.06

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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.