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Finding the Fourth Proportional to 16,429.84, 22,673.10 and 8,977.84

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Solution

The fourth proportional to 16,429.84, 22,673.10 and 8,977.84 is: 12,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,429.84 : 22,673.10 = 8,977.84 : x
  2. Step 2: Convert to fraction form
    16,429.84/22,673.10 = 8,977.84/x
  3. Step 3: Cross multiply
    16,429.84x = 22,673.10 × 8,977.84
  4. Step 4: Simplify right side
    16,429.84x = 203,555,464.10
  5. Step 5: Solve for x
    x = 203,555,464.10/16,429.84
  6. Step 6: Final answer
    x = 12,389.38

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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.