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Finding the Fourth Proportional to 12,471.17, 17,218.31 and 9,633.60

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Solution

The fourth proportional to 12,471.17, 17,218.31 and 9,633.60 is: 13,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.17 : 17,218.31 = 9,633.60 : x
  2. Step 2: Convert to fraction form
    12,471.17/17,218.31 = 9,633.60/x
  3. Step 3: Cross multiply
    12,471.17x = 17,218.31 × 9,633.60
  4. Step 4: Simplify right side
    12,471.17x = 165,874,263.05
  5. Step 5: Solve for x
    x = 165,874,263.05/12,471.17
  6. Step 6: Final answer
    x = 13,300.62

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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.