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Finding the Fourth Proportional to 14,477.70, 21,716.97 and 5,116.41

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Solution

The fourth proportional to 14,477.70, 21,716.97 and 5,116.41 is: 7,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.70 : 21,716.97 = 5,116.41 : x
  2. Step 2: Convert to fraction form
    14,477.70/21,716.97 = 5,116.41/x
  3. Step 3: Cross multiply
    14,477.70x = 21,716.97 × 5,116.41
  4. Step 4: Simplify right side
    14,477.70x = 111,112,922.48
  5. Step 5: Solve for x
    x = 111,112,922.48/14,477.70
  6. Step 6: Final answer
    x = 7,674.76

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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.