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Finding the Fourth Proportional to 21,370.50, 29,491.11 and 11,811

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Solution

The fourth proportional to 21,370.50, 29,491.11 and 11,811 is: 16,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,370.50 : 29,491.11 = 11,811 : x
  2. Step 2: Convert to fraction form
    21,370.50/29,491.11 = 11,811/x
  3. Step 3: Cross multiply
    21,370.50x = 29,491.11 × 11,811
  4. Step 4: Simplify right side
    21,370.50x = 348,319,500.21
  5. Step 5: Solve for x
    x = 348,319,500.21/21,370.50
  6. Step 6: Final answer
    x = 16,299.08

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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.