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Finding the Fourth Proportional to 11,655.90, 17,464.41 and 8,186.94

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Solution

The fourth proportional to 11,655.90, 17,464.41 and 8,186.94 is: 12,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.90 : 17,464.41 = 8,186.94 : x
  2. Step 2: Convert to fraction form
    11,655.90/17,464.41 = 8,186.94/x
  3. Step 3: Cross multiply
    11,655.90x = 17,464.41 × 8,186.94
  4. Step 4: Simplify right side
    11,655.90x = 142,980,076.81
  5. Step 5: Solve for x
    x = 142,980,076.81/11,655.90
  6. Step 6: Final answer
    x = 12,266.76

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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.