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Finding the Fourth Proportional to 34,216.40, 51,286.20 and 14,491.60

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Solution

The fourth proportional to 34,216.40, 51,286.20 and 14,491.60 is: 21,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,216.40 : 51,286.20 = 14,491.60 : x
  2. Step 2: Convert to fraction form
    34,216.40/51,286.20 = 14,491.60/x
  3. Step 3: Cross multiply
    34,216.40x = 51,286.20 × 14,491.60
  4. Step 4: Simplify right side
    34,216.40x = 743,219,095.92
  5. Step 5: Solve for x
    x = 743,219,095.92/34,216.40
  6. Step 6: Final answer
    x = 21,721.14

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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.