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Finding the Fourth Proportional to 16,508.29, 22,777.94 and 9,796.10

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Solution

The fourth proportional to 16,508.29, 22,777.94 and 9,796.10 is: 13,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508.29 : 22,777.94 = 9,796.10 : x
  2. Step 2: Convert to fraction form
    16,508.29/22,777.94 = 9,796.10/x
  3. Step 3: Cross multiply
    16,508.29x = 22,777.94 × 9,796.10
  4. Step 4: Simplify right side
    16,508.29x = 223,134,929.05
  5. Step 5: Solve for x
    x = 223,134,929.05/16,508.29
  6. Step 6: Final answer
    x = 13,516.54

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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.