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Finding the Fourth Proportional to 13,935.89, 20,892.90 and 9,540.02

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Solution

The fourth proportional to 13,935.89, 20,892.90 and 9,540.02 is: 14,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935.89 : 20,892.90 = 9,540.02 : x
  2. Step 2: Convert to fraction form
    13,935.89/20,892.90 = 9,540.02/x
  3. Step 3: Cross multiply
    13,935.89x = 20,892.90 × 9,540.02
  4. Step 4: Simplify right side
    13,935.89x = 199,318,683.86
  5. Step 5: Solve for x
    x = 199,318,683.86/13,935.89
  6. Step 6: Final answer
    x = 14,302.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.