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Finding the Fourth Proportional to 21,683.68, 29,912.51 and 14,513.90

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Solution

The fourth proportional to 21,683.68, 29,912.51 and 14,513.90 is: 20,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683.68 : 29,912.51 = 14,513.90 : x
  2. Step 2: Convert to fraction form
    21,683.68/29,912.51 = 14,513.90/x
  3. Step 3: Cross multiply
    21,683.68x = 29,912.51 × 14,513.90
  4. Step 4: Simplify right side
    21,683.68x = 434,147,065.61
  5. Step 5: Solve for x
    x = 434,147,065.61/21,683.68
  6. Step 6: Final answer
    x = 20,021.84

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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.