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Finding the Fourth Proportional to 11,653.34, 16,163.99 and 11,233.02

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Solution

The fourth proportional to 11,653.34, 16,163.99 and 11,233.02 is: 15,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.34 : 16,163.99 = 11,233.02 : x
  2. Step 2: Convert to fraction form
    11,653.34/16,163.99 = 11,233.02/x
  3. Step 3: Cross multiply
    11,653.34x = 16,163.99 × 11,233.02
  4. Step 4: Simplify right side
    11,653.34x = 181,570,366.78
  5. Step 5: Solve for x
    x = 181,570,366.78/11,653.34
  6. Step 6: Final answer
    x = 15,580.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.