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Finding the Fourth Proportional to 16,944, 23,389.44 and 11,358.24

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Solution

The fourth proportional to 16,944, 23,389.44 and 11,358.24 is: 15,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,944 : 23,389.44 = 11,358.24 : x
  2. Step 2: Convert to fraction form
    16,944/23,389.44 = 11,358.24/x
  3. Step 3: Cross multiply
    16,944x = 23,389.44 × 11,358.24
  4. Step 4: Simplify right side
    16,944x = 265,662,872.99
  5. Step 5: Solve for x
    x = 265,662,872.99/16,944
  6. Step 6: Final answer
    x = 15,678.88

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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.