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Finding the Fourth Proportional to 11,643.56, 17,380.80 and 10,776.23

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Solution

The fourth proportional to 11,643.56, 17,380.80 and 10,776.23 is: 16,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.56 : 17,380.80 = 10,776.23 : x
  2. Step 2: Convert to fraction form
    11,643.56/17,380.80 = 10,776.23/x
  3. Step 3: Cross multiply
    11,643.56x = 17,380.80 × 10,776.23
  4. Step 4: Simplify right side
    11,643.56x = 187,299,498.38
  5. Step 5: Solve for x
    x = 187,299,498.38/11,643.56
  6. Step 6: Final answer
    x = 16,086.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.