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Finding the Fourth Proportional to 16,827.82, 23,218.64 and 9,657.29

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Solution

The fourth proportional to 16,827.82, 23,218.64 and 9,657.29 is: 13,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.82 : 23,218.64 = 9,657.29 : x
  2. Step 2: Convert to fraction form
    16,827.82/23,218.64 = 9,657.29/x
  3. Step 3: Cross multiply
    16,827.82x = 23,218.64 × 9,657.29
  4. Step 4: Simplify right side
    16,827.82x = 224,229,139.89
  5. Step 5: Solve for x
    x = 224,229,139.89/16,827.82
  6. Step 6: Final answer
    x = 13,324.91

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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.