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Finding the Fourth Proportional to 16,438.64, 22,628.31 and 14,339.12

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Solution

The fourth proportional to 16,438.64, 22,628.31 and 14,339.12 is: 19,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.64 : 22,628.31 = 14,339.12 : x
  2. Step 2: Convert to fraction form
    16,438.64/22,628.31 = 14,339.12/x
  3. Step 3: Cross multiply
    16,438.64x = 22,628.31 × 14,339.12
  4. Step 4: Simplify right side
    16,438.64x = 324,470,052.49
  5. Step 5: Solve for x
    x = 324,470,052.49/16,438.64
  6. Step 6: Final answer
    x = 19,738.25

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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.