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Finding the Fourth Proportional to 11,651.96, 17,463.35 and 9,177

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Solution

The fourth proportional to 11,651.96, 17,463.35 and 9,177 is: 13,754.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.96 : 17,463.35 = 9,177 : x
  2. Step 2: Convert to fraction form
    11,651.96/17,463.35 = 9,177/x
  3. Step 3: Cross multiply
    11,651.96x = 17,463.35 × 9,177
  4. Step 4: Simplify right side
    11,651.96x = 160,261,117.07
  5. Step 5: Solve for x
    x = 160,261,117.07/11,651.96
  6. Step 6: Final answer
    x = 13,754.01

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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.