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Finding the Fourth Proportional to 21,299.72, 31,969.25 and 10,777.15

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Solution

The fourth proportional to 21,299.72, 31,969.25 and 10,777.15 is: 16,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,299.72 : 31,969.25 = 10,777.15 : x
  2. Step 2: Convert to fraction form
    21,299.72/31,969.25 = 10,777.15/x
  3. Step 3: Cross multiply
    21,299.72x = 31,969.25 × 10,777.15
  4. Step 4: Simplify right side
    21,299.72x = 344,537,188.91
  5. Step 5: Solve for x
    x = 344,537,188.91/21,299.72
  6. Step 6: Final answer
    x = 16,175.67

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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.