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Finding the Fourth Proportional to 11,702.89, 17,544.62 and 8,182.84

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Solution

The fourth proportional to 11,702.89, 17,544.62 and 8,182.84 is: 12,267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.89 : 17,544.62 = 8,182.84 : x
  2. Step 2: Convert to fraction form
    11,702.89/17,544.62 = 8,182.84/x
  3. Step 3: Cross multiply
    11,702.89x = 17,544.62 × 8,182.84
  4. Step 4: Simplify right side
    11,702.89x = 143,564,689.68
  5. Step 5: Solve for x
    x = 143,564,689.68/11,702.89
  6. Step 6: Final answer
    x = 12,267.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.