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Finding the Fourth Proportional to 16,448.46, 24,651.09 and 14,329.50

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Solution

The fourth proportional to 16,448.46, 24,651.09 and 14,329.50 is: 21,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.46 : 24,651.09 = 14,329.50 : x
  2. Step 2: Convert to fraction form
    16,448.46/24,651.09 = 14,329.50/x
  3. Step 3: Cross multiply
    16,448.46x = 24,651.09 × 14,329.50
  4. Step 4: Simplify right side
    16,448.46x = 353,237,794.16
  5. Step 5: Solve for x
    x = 353,237,794.16/16,448.46
  6. Step 6: Final answer
    x = 21,475.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.