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Finding the Fourth Proportional to 16,266, 22,448.94 and 9,551.90

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Solution

The fourth proportional to 16,266, 22,448.94 and 9,551.90 is: 13,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266 : 22,448.94 = 9,551.90 : x
  2. Step 2: Convert to fraction form
    16,266/22,448.94 = 9,551.90/x
  3. Step 3: Cross multiply
    16,266x = 22,448.94 × 9,551.90
  4. Step 4: Simplify right side
    16,266x = 214,430,029.99
  5. Step 5: Solve for x
    x = 214,430,029.99/16,266
  6. Step 6: Final answer
    x = 13,182.71

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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.