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Finding the Fourth Proportional to 12,827.29, 17,702.45 and 7,162.03

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Solution

The fourth proportional to 12,827.29, 17,702.45 and 7,162.03 is: 9,884.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.29 : 17,702.45 = 7,162.03 : x
  2. Step 2: Convert to fraction form
    12,827.29/17,702.45 = 7,162.03/x
  3. Step 3: Cross multiply
    12,827.29x = 17,702.45 × 7,162.03
  4. Step 4: Simplify right side
    12,827.29x = 126,785,477.97
  5. Step 5: Solve for x
    x = 126,785,477.97/12,827.29
  6. Step 6: Final answer
    x = 9,884.04

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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.