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Finding the Fourth Proportional to 16,650.94, 22,978.38 and 9,097.42

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Solution

The fourth proportional to 16,650.94, 22,978.38 and 9,097.42 is: 12,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,650.94 : 22,978.38 = 9,097.42 : x
  2. Step 2: Convert to fraction form
    16,650.94/22,978.38 = 9,097.42/x
  3. Step 3: Cross multiply
    16,650.94x = 22,978.38 × 9,097.42
  4. Step 4: Simplify right side
    16,650.94x = 209,043,973.78
  5. Step 5: Solve for x
    x = 209,043,973.78/16,650.94
  6. Step 6: Final answer
    x = 12,554.48

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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.