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Finding the Fourth Proportional to 16,164.56, 22,301.90 and 9,789.10

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Solution

The fourth proportional to 16,164.56, 22,301.90 and 9,789.10 is: 13,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.56 : 22,301.90 = 9,789.10 : x
  2. Step 2: Convert to fraction form
    16,164.56/22,301.90 = 9,789.10/x
  3. Step 3: Cross multiply
    16,164.56x = 22,301.90 × 9,789.10
  4. Step 4: Simplify right side
    16,164.56x = 218,315,529.29
  5. Step 5: Solve for x
    x = 218,315,529.29/16,164.56
  6. Step 6: Final answer
    x = 13,505.81

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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.