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Finding the Fourth Proportional to 12,827.84, 17,702.15 and 7,162.43

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Solution

The fourth proportional to 12,827.84, 17,702.15 and 7,162.43 is: 9,884.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.84 : 17,702.15 = 7,162.43 : x
  2. Step 2: Convert to fraction form
    12,827.84/17,702.15 = 7,162.43/x
  3. Step 3: Cross multiply
    12,827.84x = 17,702.15 × 7,162.43
  4. Step 4: Simplify right side
    12,827.84x = 126,790,285.90
  5. Step 5: Solve for x
    x = 126,790,285.90/12,827.84
  6. Step 6: Final answer
    x = 9,884.00

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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.