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Finding the Fourth Proportional to 21,315.76, 31,963.92 and 10,227.67

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Solution

The fourth proportional to 21,315.76, 31,963.92 and 10,227.67 is: 15,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,315.76 : 31,963.92 = 10,227.67 : x
  2. Step 2: Convert to fraction form
    21,315.76/31,963.92 = 10,227.67/x
  3. Step 3: Cross multiply
    21,315.76x = 31,963.92 × 10,227.67
  4. Step 4: Simplify right side
    21,315.76x = 326,916,573.50
  5. Step 5: Solve for x
    x = 326,916,573.50/21,315.76
  6. Step 6: Final answer
    x = 15,336.85

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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.