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Finding the Fourth Proportional to 12,682.72, 17,501.12 and 7,017.48

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Solution

The fourth proportional to 12,682.72, 17,501.12 and 7,017.48 is: 9,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.72 : 17,501.12 = 7,017.48 : x
  2. Step 2: Convert to fraction form
    12,682.72/17,501.12 = 7,017.48/x
  3. Step 3: Cross multiply
    12,682.72x = 17,501.12 × 7,017.48
  4. Step 4: Simplify right side
    12,682.72x = 122,813,759.58
  5. Step 5: Solve for x
    x = 122,813,759.58/12,682.72
  6. Step 6: Final answer
    x = 9,683.55

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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.