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Finding the Fourth Proportional to 13,615.26, 18,776.57 and 8,830.20

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Solution

The fourth proportional to 13,615.26, 18,776.57 and 8,830.20 is: 12,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.26 : 18,776.57 = 8,830.20 : x
  2. Step 2: Convert to fraction form
    13,615.26/18,776.57 = 8,830.20/x
  3. Step 3: Cross multiply
    13,615.26x = 18,776.57 × 8,830.20
  4. Step 4: Simplify right side
    13,615.26x = 165,800,824.26
  5. Step 5: Solve for x
    x = 165,800,824.26/13,615.26
  6. Step 6: Final answer
    x = 12,177.57

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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.