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Finding the Fourth Proportional to 16,378.94, 22,596.37 and 10,327.19

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Solution

The fourth proportional to 16,378.94, 22,596.37 and 10,327.19 is: 14,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.94 : 22,596.37 = 10,327.19 : x
  2. Step 2: Convert to fraction form
    16,378.94/22,596.37 = 10,327.19/x
  3. Step 3: Cross multiply
    16,378.94x = 22,596.37 × 10,327.19
  4. Step 4: Simplify right side
    16,378.94x = 233,357,006.30
  5. Step 5: Solve for x
    x = 233,357,006.30/16,378.94
  6. Step 6: Final answer
    x = 14,247.38

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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.