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Finding the Fourth Proportional to 12,452.96, 17,185.20 and 6,864.16

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Solution

The fourth proportional to 12,452.96, 17,185.20 and 6,864.16 is: 9,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.96 : 17,185.20 = 6,864.16 : x
  2. Step 2: Convert to fraction form
    12,452.96/17,185.20 = 6,864.16/x
  3. Step 3: Cross multiply
    12,452.96x = 17,185.20 × 6,864.16
  4. Step 4: Simplify right side
    12,452.96x = 117,961,962.43
  5. Step 5: Solve for x
    x = 117,961,962.43/12,452.96
  6. Step 6: Final answer
    x = 9,472.60

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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.