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Finding the Fourth Proportional to 21,211.92, 31,817.90 and 7,172

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Solution

The fourth proportional to 21,211.92, 31,817.90 and 7,172 is: 10,758.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,211.92 : 31,817.90 = 7,172 : x
  2. Step 2: Convert to fraction form
    21,211.92/31,817.90 = 7,172/x
  3. Step 3: Cross multiply
    21,211.92x = 31,817.90 × 7,172
  4. Step 4: Simplify right side
    21,211.92x = 228,197,978.80
  5. Step 5: Solve for x
    x = 228,197,978.80/21,211.92
  6. Step 6: Final answer
    x = 10,758.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.