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Finding the Fourth Proportional to 16,954.64, 23,398.24 and 10,240.14

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Solution

The fourth proportional to 16,954.64, 23,398.24 and 10,240.14 is: 14,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,954.64 : 23,398.24 = 10,240.14 : x
  2. Step 2: Convert to fraction form
    16,954.64/23,398.24 = 10,240.14/x
  3. Step 3: Cross multiply
    16,954.64x = 23,398.24 × 10,240.14
  4. Step 4: Simplify right side
    16,954.64x = 239,601,253.35
  5. Step 5: Solve for x
    x = 239,601,253.35/16,954.64
  6. Step 6: Final answer
    x = 14,131.90

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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.