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Finding the Fourth Proportional to 16,574.90, 22,871.77 and 9,500.36

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Solution

The fourth proportional to 16,574.90, 22,871.77 and 9,500.36 is: 13,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.90 : 22,871.77 = 9,500.36 : x
  2. Step 2: Convert to fraction form
    16,574.90/22,871.77 = 9,500.36/x
  3. Step 3: Cross multiply
    16,574.90x = 22,871.77 × 9,500.36
  4. Step 4: Simplify right side
    16,574.90x = 217,289,910.73
  5. Step 5: Solve for x
    x = 217,289,910.73/16,574.90
  6. Step 6: Final answer
    x = 13,109.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.