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Finding the Fourth Proportional to 12,613.14, 18,913.23 and 6,774.66

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Solution

The fourth proportional to 12,613.14, 18,913.23 and 6,774.66 is: 10,158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.14 : 18,913.23 = 6,774.66 : x
  2. Step 2: Convert to fraction form
    12,613.14/18,913.23 = 6,774.66/x
  3. Step 3: Cross multiply
    12,613.14x = 18,913.23 × 6,774.66
  4. Step 4: Simplify right side
    12,613.14x = 128,130,668.88
  5. Step 5: Solve for x
    x = 128,130,668.88/12,613.14
  6. Step 6: Final answer
    x = 10,158.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.