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Finding the Fourth Proportional to 16,708.56, 23,057.82 and 9,256.56

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Solution

The fourth proportional to 16,708.56, 23,057.82 and 9,256.56 is: 12,774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,708.56 : 23,057.82 = 9,256.56 : x
  2. Step 2: Convert to fraction form
    16,708.56/23,057.82 = 9,256.56/x
  3. Step 3: Cross multiply
    16,708.56x = 23,057.82 × 9,256.56
  4. Step 4: Simplify right side
    16,708.56x = 213,436,094.30
  5. Step 5: Solve for x
    x = 213,436,094.30/16,708.56
  6. Step 6: Final answer
    x = 12,774.06

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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.