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Finding the Fourth Proportional to 16,814.70, 23,207.31 and 9,745.02

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Solution

The fourth proportional to 16,814.70, 23,207.31 and 9,745.02 is: 13,449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.70 : 23,207.31 = 9,745.02 : x
  2. Step 2: Convert to fraction form
    16,814.70/23,207.31 = 9,745.02/x
  3. Step 3: Cross multiply
    16,814.70x = 23,207.31 × 9,745.02
  4. Step 4: Simplify right side
    16,814.70x = 226,155,700.10
  5. Step 5: Solve for x
    x = 226,155,700.10/16,814.70
  6. Step 6: Final answer
    x = 13,449.88

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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.