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Finding the Fourth Proportional to 12,452.24, 17,181.96 and 7,415.84

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Solution

The fourth proportional to 12,452.24, 17,181.96 and 7,415.84 is: 10,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.24 : 17,181.96 = 7,415.84 : x
  2. Step 2: Convert to fraction form
    12,452.24/17,181.96 = 7,415.84/x
  3. Step 3: Cross multiply
    12,452.24x = 17,181.96 × 7,415.84
  4. Step 4: Simplify right side
    12,452.24x = 127,418,666.25
  5. Step 5: Solve for x
    x = 127,418,666.25/12,452.24
  6. Step 6: Final answer
    x = 10,232.59

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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.