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Finding the Fourth Proportional to 16,832.10, 23,225.54 and 9,757.14

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Solution

The fourth proportional to 16,832.10, 23,225.54 and 9,757.14 is: 13,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,832.10 : 23,225.54 = 9,757.14 : x
  2. Step 2: Convert to fraction form
    16,832.10/23,225.54 = 9,757.14/x
  3. Step 3: Cross multiply
    16,832.10x = 23,225.54 × 9,757.14
  4. Step 4: Simplify right side
    16,832.10x = 226,614,845.36
  5. Step 5: Solve for x
    x = 226,614,845.36/16,832.10
  6. Step 6: Final answer
    x = 13,463.25

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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.