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Finding the Fourth Proportional to 23,083.56, 31,856.03 and 13,012.43

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Solution

The fourth proportional to 23,083.56, 31,856.03 and 13,012.43 is: 17,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,083.56 : 31,856.03 = 13,012.43 : x
  2. Step 2: Convert to fraction form
    23,083.56/31,856.03 = 13,012.43/x
  3. Step 3: Cross multiply
    23,083.56x = 31,856.03 × 13,012.43
  4. Step 4: Simplify right side
    23,083.56x = 414,524,136.11
  5. Step 5: Solve for x
    x = 414,524,136.11/23,083.56
  6. Step 6: Final answer
    x = 17,957.55

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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.