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Finding the Fourth Proportional to 16,826.14, 23,214.93 and 9,751.20

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Solution

The fourth proportional to 16,826.14, 23,214.93 and 9,751.20 is: 13,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,826.14 : 23,214.93 = 9,751.20 : x
  2. Step 2: Convert to fraction form
    16,826.14/23,214.93 = 9,751.20/x
  3. Step 3: Cross multiply
    16,826.14x = 23,214.93 × 9,751.20
  4. Step 4: Simplify right side
    16,826.14x = 226,373,425.42
  5. Step 5: Solve for x
    x = 226,373,425.42/16,826.14
  6. Step 6: Final answer
    x = 13,453.68

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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.