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Finding the Fourth Proportional to 16,789.24, 23,169.93 and 9,714.29

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Solution

The fourth proportional to 16,789.24, 23,169.93 and 9,714.29 is: 13,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,789.24 : 23,169.93 = 9,714.29 : x
  2. Step 2: Convert to fraction form
    16,789.24/23,169.93 = 9,714.29/x
  3. Step 3: Cross multiply
    16,789.24x = 23,169.93 × 9,714.29
  4. Step 4: Simplify right side
    16,789.24x = 225,079,419.30
  5. Step 5: Solve for x
    x = 225,079,419.30/16,789.24
  6. Step 6: Final answer
    x = 13,406.17

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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.