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Finding the Fourth Proportional to 12,827.18, 17,702.40 and 7,163.03

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Solution

The fourth proportional to 12,827.18, 17,702.40 and 7,163.03 is: 9,885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.18 : 17,702.40 = 7,163.03 : x
  2. Step 2: Convert to fraction form
    12,827.18/17,702.40 = 7,163.03/x
  3. Step 3: Cross multiply
    12,827.18x = 17,702.40 × 7,163.03
  4. Step 4: Simplify right side
    12,827.18x = 126,802,733.76
  5. Step 5: Solve for x
    x = 126,802,733.76/12,827.18
  6. Step 6: Final answer
    x = 9,885.48

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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.