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Finding the Fourth Proportional to 15,817.97, 21,828.12 and 9,103.82

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Solution

The fourth proportional to 15,817.97, 21,828.12 and 9,103.82 is: 12,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.97 : 21,828.12 = 9,103.82 : x
  2. Step 2: Convert to fraction form
    15,817.97/21,828.12 = 9,103.82/x
  3. Step 3: Cross multiply
    15,817.97x = 21,828.12 × 9,103.82
  4. Step 4: Simplify right side
    15,817.97x = 198,719,166.28
  5. Step 5: Solve for x
    x = 198,719,166.28/15,817.97
  6. Step 6: Final answer
    x = 12,562.88

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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.