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Finding the Fourth Proportional to 16,299.48, 22,485.66 and 9,584.98

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Solution

The fourth proportional to 16,299.48, 22,485.66 and 9,584.98 is: 13,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.48 : 22,485.66 = 9,584.98 : x
  2. Step 2: Convert to fraction form
    16,299.48/22,485.66 = 9,584.98/x
  3. Step 3: Cross multiply
    16,299.48x = 22,485.66 × 9,584.98
  4. Step 4: Simplify right side
    16,299.48x = 215,524,601.39
  5. Step 5: Solve for x
    x = 215,524,601.39/16,299.48
  6. Step 6: Final answer
    x = 13,222.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.