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Finding the Fourth Proportional to 16,429.16, 22,673.88 and 9,716.96

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Solution

The fourth proportional to 16,429.16, 22,673.88 and 9,716.96 is: 13,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,429.16 : 22,673.88 = 9,716.96 : x
  2. Step 2: Convert to fraction form
    16,429.16/22,673.88 = 9,716.96/x
  3. Step 3: Cross multiply
    16,429.16x = 22,673.88 × 9,716.96
  4. Step 4: Simplify right side
    16,429.16x = 220,321,185.00
  5. Step 5: Solve for x
    x = 220,321,185.00/16,429.16
  6. Step 6: Final answer
    x = 13,410.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.