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Finding the Fourth Proportional to 22,271.28, 30,733.82 and 12,200.16

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Solution

The fourth proportional to 22,271.28, 30,733.82 and 12,200.16 is: 16,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.28 : 30,733.82 = 12,200.16 : x
  2. Step 2: Convert to fraction form
    22,271.28/30,733.82 = 12,200.16/x
  3. Step 3: Cross multiply
    22,271.28x = 30,733.82 × 12,200.16
  4. Step 4: Simplify right side
    22,271.28x = 374,957,521.41
  5. Step 5: Solve for x
    x = 374,957,521.41/22,271.28
  6. Step 6: Final answer
    x = 16,835.92

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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.