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Finding the Fourth Proportional to 21,906.10, 32,861.55 and 21,214.90

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Solution

The fourth proportional to 21,906.10, 32,861.55 and 21,214.90 is: 31,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.10 : 32,861.55 = 21,214.90 : x
  2. Step 2: Convert to fraction form
    21,906.10/32,861.55 = 21,214.90/x
  3. Step 3: Cross multiply
    21,906.10x = 32,861.55 × 21,214.90
  4. Step 4: Simplify right side
    21,906.10x = 697,154,497.10
  5. Step 5: Solve for x
    x = 697,154,497.10/21,906.10
  6. Step 6: Final answer
    x = 31,824.67

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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.