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Finding the Fourth Proportional to 12,850.16, 19,259.82 and 6,613.12

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Solution

The fourth proportional to 12,850.16, 19,259.82 and 6,613.12 is: 9,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.16 : 19,259.82 = 6,613.12 : x
  2. Step 2: Convert to fraction form
    12,850.16/19,259.82 = 6,613.12/x
  3. Step 3: Cross multiply
    12,850.16x = 19,259.82 × 6,613.12
  4. Step 4: Simplify right side
    12,850.16x = 127,367,452.69
  5. Step 5: Solve for x
    x = 127,367,452.69/12,850.16
  6. Step 6: Final answer
    x = 9,911.74

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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.