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Finding the Fourth Proportional to 16,341, 22,548.72 and 9,169.98

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Solution

The fourth proportional to 16,341, 22,548.72 and 9,169.98 is: 12,653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341 : 22,548.72 = 9,169.98 : x
  2. Step 2: Convert to fraction form
    16,341/22,548.72 = 9,169.98/x
  3. Step 3: Cross multiply
    16,341x = 22,548.72 × 9,169.98
  4. Step 4: Simplify right side
    16,341x = 206,771,311.43
  5. Step 5: Solve for x
    x = 206,771,311.43/16,341
  6. Step 6: Final answer
    x = 12,653.53

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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.