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Finding the Fourth Proportional to 16,775.97, 23,151.11 and 9,222.63

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Solution

The fourth proportional to 16,775.97, 23,151.11 and 9,222.63 is: 12,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,775.97 : 23,151.11 = 9,222.63 : x
  2. Step 2: Convert to fraction form
    16,775.97/23,151.11 = 9,222.63/x
  3. Step 3: Cross multiply
    16,775.97x = 23,151.11 × 9,222.63
  4. Step 4: Simplify right side
    16,775.97x = 213,514,075.51
  5. Step 5: Solve for x
    x = 213,514,075.51/16,775.97
  6. Step 6: Final answer
    x = 12,727.38

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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.