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Finding the Fourth Proportional to 16,271.68, 22,454.04 and 9,197.68

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Solution

The fourth proportional to 16,271.68, 22,454.04 and 9,197.68 is: 12,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271.68 : 22,454.04 = 9,197.68 : x
  2. Step 2: Convert to fraction form
    16,271.68/22,454.04 = 9,197.68/x
  3. Step 3: Cross multiply
    16,271.68x = 22,454.04 × 9,197.68
  4. Step 4: Simplify right side
    16,271.68x = 206,525,074.63
  5. Step 5: Solve for x
    x = 206,525,074.63/16,271.68
  6. Step 6: Final answer
    x = 12,692.30

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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.