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Finding the Fourth Proportional to 16,929.86, 23,362.83 and 9,375.75

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Solution

The fourth proportional to 16,929.86, 23,362.83 and 9,375.75 is: 12,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,929.86 : 23,362.83 = 9,375.75 : x
  2. Step 2: Convert to fraction form
    16,929.86/23,362.83 = 9,375.75/x
  3. Step 3: Cross multiply
    16,929.86x = 23,362.83 × 9,375.75
  4. Step 4: Simplify right side
    16,929.86x = 219,044,053.37
  5. Step 5: Solve for x
    x = 219,044,053.37/16,929.86
  6. Step 6: Final answer
    x = 12,938.33

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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.