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Finding the Fourth Proportional to 16,929.24, 23,362.38 and 9,477.24

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Solution

The fourth proportional to 16,929.24, 23,362.38 and 9,477.24 is: 13,078.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,929.24 : 23,362.38 = 9,477.24 : x
  2. Step 2: Convert to fraction form
    16,929.24/23,362.38 = 9,477.24/x
  3. Step 3: Cross multiply
    16,929.24x = 23,362.38 × 9,477.24
  4. Step 4: Simplify right side
    16,929.24x = 221,410,882.23
  5. Step 5: Solve for x
    x = 221,410,882.23/16,929.24
  6. Step 6: Final answer
    x = 13,078.61

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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.