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Finding the Fourth Proportional to 16,851.62, 23,256.56 and 9,299.46

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Solution

The fourth proportional to 16,851.62, 23,256.56 and 9,299.46 is: 12,833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,851.62 : 23,256.56 = 9,299.46 : x
  2. Step 2: Convert to fraction form
    16,851.62/23,256.56 = 9,299.46/x
  3. Step 3: Cross multiply
    16,851.62x = 23,256.56 × 9,299.46
  4. Step 4: Simplify right side
    16,851.62x = 216,273,449.46
  5. Step 5: Solve for x
    x = 216,273,449.46/16,851.62
  6. Step 6: Final answer
    x = 12,833.99

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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.