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Finding the Fourth Proportional to 16,851.12, 23,256.12 and 9,682

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Solution

The fourth proportional to 16,851.12, 23,256.12 and 9,682 is: 13,362.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,851.12 : 23,256.12 = 9,682 : x
  2. Step 2: Convert to fraction form
    16,851.12/23,256.12 = 9,682/x
  3. Step 3: Cross multiply
    16,851.12x = 23,256.12 × 9,682
  4. Step 4: Simplify right side
    16,851.12x = 225,165,753.84
  5. Step 5: Solve for x
    x = 225,165,753.84/16,851.12
  6. Step 6: Final answer
    x = 13,362.06

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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.