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Finding the Fourth Proportional to 11,613.96, 17,398.26 and 9,278.82

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Solution

The fourth proportional to 11,613.96, 17,398.26 and 9,278.82 is: 13,900.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.96 : 17,398.26 = 9,278.82 : x
  2. Step 2: Convert to fraction form
    11,613.96/17,398.26 = 9,278.82/x
  3. Step 3: Cross multiply
    11,613.96x = 17,398.26 × 9,278.82
  4. Step 4: Simplify right side
    11,613.96x = 161,435,322.85
  5. Step 5: Solve for x
    x = 161,435,322.85/11,613.96
  6. Step 6: Final answer
    x = 13,900.11

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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.