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Finding the Fourth Proportional to 16,736.25, 23,096.24 and 9,182.10

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Solution

The fourth proportional to 16,736.25, 23,096.24 and 9,182.10 is: 12,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,736.25 : 23,096.24 = 9,182.10 : x
  2. Step 2: Convert to fraction form
    16,736.25/23,096.24 = 9,182.10/x
  3. Step 3: Cross multiply
    16,736.25x = 23,096.24 × 9,182.10
  4. Step 4: Simplify right side
    16,736.25x = 212,071,985.30
  5. Step 5: Solve for x
    x = 212,071,985.30/16,736.25
  6. Step 6: Final answer
    x = 12,671.42

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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.