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Finding the Fourth Proportional to 12,474.10, 17,213.82 and 7,435.72

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Solution

The fourth proportional to 12,474.10, 17,213.82 and 7,435.72 is: 10,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.10 : 17,213.82 = 7,435.72 : x
  2. Step 2: Convert to fraction form
    12,474.10/17,213.82 = 7,435.72/x
  3. Step 3: Cross multiply
    12,474.10x = 17,213.82 × 7,435.72
  4. Step 4: Simplify right side
    12,474.10x = 127,997,121.21
  5. Step 5: Solve for x
    x = 127,997,121.21/12,474.10
  6. Step 6: Final answer
    x = 10,261.03

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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.