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Finding the Fourth Proportional to 12,478.10, 17,221.25 and 7,173.14

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Solution

The fourth proportional to 12,478.10, 17,221.25 and 7,173.14 is: 9,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.10 : 17,221.25 = 7,173.14 : x
  2. Step 2: Convert to fraction form
    12,478.10/17,221.25 = 7,173.14/x
  3. Step 3: Cross multiply
    12,478.10x = 17,221.25 × 7,173.14
  4. Step 4: Simplify right side
    12,478.10x = 123,530,437.23
  5. Step 5: Solve for x
    x = 123,530,437.23/12,478.10
  6. Step 6: Final answer
    x = 9,899.78

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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.