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Finding the Fourth Proportional to 13,613.64, 18,793.98 and 9,160.80

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Solution

The fourth proportional to 13,613.64, 18,793.98 and 9,160.80 is: 12,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.64 : 18,793.98 = 9,160.80 : x
  2. Step 2: Convert to fraction form
    13,613.64/18,793.98 = 9,160.80/x
  3. Step 3: Cross multiply
    13,613.64x = 18,793.98 × 9,160.80
  4. Step 4: Simplify right side
    13,613.64x = 172,167,891.98
  5. Step 5: Solve for x
    x = 172,167,891.98/13,613.64
  6. Step 6: Final answer
    x = 12,646.72

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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.