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Finding the Fourth Proportional to 16,852.12, 23,257.50 and 9,683

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Solution

The fourth proportional to 16,852.12, 23,257.50 and 9,683 is: 13,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.12 : 23,257.50 = 9,683 : x
  2. Step 2: Convert to fraction form
    16,852.12/23,257.50 = 9,683/x
  3. Step 3: Cross multiply
    16,852.12x = 23,257.50 × 9,683
  4. Step 4: Simplify right side
    16,852.12x = 225,202,372.50
  5. Step 5: Solve for x
    x = 225,202,372.50/16,852.12
  6. Step 6: Final answer
    x = 13,363.44

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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.