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Finding the Fourth Proportional to 13,852.82, 19,123.19 and 8,823.94

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Solution

The fourth proportional to 13,852.82, 19,123.19 and 8,823.94 is: 12,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.82 : 19,123.19 = 8,823.94 : x
  2. Step 2: Convert to fraction form
    13,852.82/19,123.19 = 8,823.94/x
  3. Step 3: Cross multiply
    13,852.82x = 19,123.19 × 8,823.94
  4. Step 4: Simplify right side
    13,852.82x = 168,741,822.33
  5. Step 5: Solve for x
    x = 168,741,822.33/13,852.82
  6. Step 6: Final answer
    x = 12,181.04

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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.