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Finding the Fourth Proportional to 12,526.50, 17,286.26 and 6,861.26

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Solution

The fourth proportional to 12,526.50, 17,286.26 and 6,861.26 is: 9,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.50 : 17,286.26 = 6,861.26 : x
  2. Step 2: Convert to fraction form
    12,526.50/17,286.26 = 6,861.26/x
  3. Step 3: Cross multiply
    12,526.50x = 17,286.26 × 6,861.26
  4. Step 4: Simplify right side
    12,526.50x = 118,605,403.55
  5. Step 5: Solve for x
    x = 118,605,403.55/12,526.50
  6. Step 6: Final answer
    x = 9,468.36

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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.