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Finding the Fourth Proportional to 12,471.63, 17,211.21 and 7,166.13

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Solution

The fourth proportional to 12,471.63, 17,211.21 and 7,166.13 is: 9,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.63 : 17,211.21 = 7,166.13 : x
  2. Step 2: Convert to fraction form
    12,471.63/17,211.21 = 7,166.13/x
  3. Step 3: Cross multiply
    12,471.63x = 17,211.21 × 7,166.13
  4. Step 4: Simplify right side
    12,471.63x = 123,337,768.32
  5. Step 5: Solve for x
    x = 123,337,768.32/12,471.63
  6. Step 6: Final answer
    x = 9,889.47

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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.