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Finding the Fourth Proportional to 12,766.93, 17,613.53 and 7,919.42

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Solution

The fourth proportional to 12,766.93, 17,613.53 and 7,919.42 is: 10,925.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.93 : 17,613.53 = 7,919.42 : x
  2. Step 2: Convert to fraction form
    12,766.93/17,613.53 = 7,919.42/x
  3. Step 3: Cross multiply
    12,766.93x = 17,613.53 × 7,919.42
  4. Step 4: Simplify right side
    12,766.93x = 139,488,814.09
  5. Step 5: Solve for x
    x = 139,488,814.09/12,766.93
  6. Step 6: Final answer
    x = 10,925.79

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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.