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Finding the Fourth Proportional to 21,138.45, 31,707.27 and 8,491.41

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Solution

The fourth proportional to 21,138.45, 31,707.27 and 8,491.41 is: 12,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,138.45 : 31,707.27 = 8,491.41 : x
  2. Step 2: Convert to fraction form
    21,138.45/31,707.27 = 8,491.41/x
  3. Step 3: Cross multiply
    21,138.45x = 31,707.27 × 8,491.41
  4. Step 4: Simplify right side
    21,138.45x = 269,239,429.55
  5. Step 5: Solve for x
    x = 269,239,429.55/21,138.45
  6. Step 6: Final answer
    x = 12,736.95

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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.