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Finding the Fourth Proportional to 16,933, 23,367.54 and 10,309

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Solution

The fourth proportional to 16,933, 23,367.54 and 10,309 is: 14,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,933 : 23,367.54 = 10,309 : x
  2. Step 2: Convert to fraction form
    16,933/23,367.54 = 10,309/x
  3. Step 3: Cross multiply
    16,933x = 23,367.54 × 10,309
  4. Step 4: Simplify right side
    16,933x = 240,895,969.86
  5. Step 5: Solve for x
    x = 240,895,969.86/16,933
  6. Step 6: Final answer
    x = 14,226.42

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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.