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Finding the Fourth Proportional to 16,362.36, 22,582.80 and 9,989.28

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Solution

The fourth proportional to 16,362.36, 22,582.80 and 9,989.28 is: 13,786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,362.36 : 22,582.80 = 9,989.28 : x
  2. Step 2: Convert to fraction form
    16,362.36/22,582.80 = 9,989.28/x
  3. Step 3: Cross multiply
    16,362.36x = 22,582.80 × 9,989.28
  4. Step 4: Simplify right side
    16,362.36x = 225,585,912.38
  5. Step 5: Solve for x
    x = 225,585,912.38/16,362.36
  6. Step 6: Final answer
    x = 13,786.88

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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.