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Finding the Fourth Proportional to 16,222.63, 22,383.39 and 9,849.06

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Solution

The fourth proportional to 16,222.63, 22,383.39 and 9,849.06 is: 13,589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.63 : 22,383.39 = 9,849.06 : x
  2. Step 2: Convert to fraction form
    16,222.63/22,383.39 = 9,849.06/x
  3. Step 3: Cross multiply
    16,222.63x = 22,383.39 × 9,849.06
  4. Step 4: Simplify right side
    16,222.63x = 220,455,332.65
  5. Step 5: Solve for x
    x = 220,455,332.65/16,222.63
  6. Step 6: Final answer
    x = 13,589.37

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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.