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Finding the Fourth Proportional to 16,259.36, 22,437.78 and 9,185.81

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Solution

The fourth proportional to 16,259.36, 22,437.78 and 9,185.81 is: 12,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259.36 : 22,437.78 = 9,185.81 : x
  2. Step 2: Convert to fraction form
    16,259.36/22,437.78 = 9,185.81/x
  3. Step 3: Cross multiply
    16,259.36x = 22,437.78 × 9,185.81
  4. Step 4: Simplify right side
    16,259.36x = 206,109,183.90
  5. Step 5: Solve for x
    x = 206,109,183.90/16,259.36
  6. Step 6: Final answer
    x = 12,676.34

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Why These Related Problems?

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