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Finding the Fourth Proportional to 13,613.62, 18,786.99 and 8,307.58

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Solution

The fourth proportional to 13,613.62, 18,786.99 and 8,307.58 is: 11,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.62 : 18,786.99 = 8,307.58 : x
  2. Step 2: Convert to fraction form
    13,613.62/18,786.99 = 8,307.58/x
  3. Step 3: Cross multiply
    13,613.62x = 18,786.99 × 8,307.58
  4. Step 4: Simplify right side
    13,613.62x = 156,074,422.38
  5. Step 5: Solve for x
    x = 156,074,422.38/13,613.62
  6. Step 6: Final answer
    x = 11,464.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.