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Finding the Fourth Proportional to 13,613.96, 18,782.40 and 8,578.64

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Solution

The fourth proportional to 13,613.96, 18,782.40 and 8,578.64 is: 11,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.96 : 18,782.40 = 8,578.64 : x
  2. Step 2: Convert to fraction form
    13,613.96/18,782.40 = 8,578.64/x
  3. Step 3: Cross multiply
    13,613.96x = 18,782.40 × 8,578.64
  4. Step 4: Simplify right side
    13,613.96x = 161,127,447.94
  5. Step 5: Solve for x
    x = 161,127,447.94/13,613.96
  6. Step 6: Final answer
    x = 11,835.46

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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.