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Finding the Fourth Proportional to 12,446.15, 17,172.01 and 7,406.33

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Solution

The fourth proportional to 12,446.15, 17,172.01 and 7,406.33 is: 10,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.15 : 17,172.01 = 7,406.33 : x
  2. Step 2: Convert to fraction form
    12,446.15/17,172.01 = 7,406.33/x
  3. Step 3: Cross multiply
    12,446.15x = 17,172.01 × 7,406.33
  4. Step 4: Simplify right side
    12,446.15x = 127,181,572.82
  5. Step 5: Solve for x
    x = 127,181,572.82/12,446.15
  6. Step 6: Final answer
    x = 10,218.55

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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.