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Finding the Fourth Proportional to 12,823.16, 17,702.22 and 10,162.04

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Solution

The fourth proportional to 12,823.16, 17,702.22 and 10,162.04 is: 14,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.16 : 17,702.22 = 10,162.04 : x
  2. Step 2: Convert to fraction form
    12,823.16/17,702.22 = 10,162.04/x
  3. Step 3: Cross multiply
    12,823.16x = 17,702.22 × 10,162.04
  4. Step 4: Simplify right side
    12,823.16x = 179,890,667.73
  5. Step 5: Solve for x
    x = 179,890,667.73/12,823.16
  6. Step 6: Final answer
    x = 14,028.58

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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.