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Finding the Fourth Proportional to 22,852, 31,537.68 and 12,917.92

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Solution

The fourth proportional to 22,852, 31,537.68 and 12,917.92 is: 17,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852 : 31,537.68 = 12,917.92 : x
  2. Step 2: Convert to fraction form
    22,852/31,537.68 = 12,917.92/x
  3. Step 3: Cross multiply
    22,852x = 31,537.68 × 12,917.92
  4. Step 4: Simplify right side
    22,852x = 407,401,227.23
  5. Step 5: Solve for x
    x = 407,401,227.23/22,852
  6. Step 6: Final answer
    x = 17,827.81

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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.