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Finding the Fourth Proportional to 22,271.30, 30,733.30 and 12,199.80

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Solution

The fourth proportional to 22,271.30, 30,733.30 and 12,199.80 is: 16,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.30 : 30,733.30 = 12,199.80 : x
  2. Step 2: Convert to fraction form
    22,271.30/30,733.30 = 12,199.80/x
  3. Step 3: Cross multiply
    22,271.30x = 30,733.30 × 12,199.80
  4. Step 4: Simplify right side
    22,271.30x = 374,940,113.34
  5. Step 5: Solve for x
    x = 374,940,113.34/22,271.30
  6. Step 6: Final answer
    x = 16,835.12

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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.