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Finding the Fourth Proportional to 13,968.50, 20,938.77 and 7,731.32

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Solution

The fourth proportional to 13,968.50, 20,938.77 and 7,731.32 is: 11,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,968.50 : 20,938.77 = 7,731.32 : x
  2. Step 2: Convert to fraction form
    13,968.50/20,938.77 = 7,731.32/x
  3. Step 3: Cross multiply
    13,968.50x = 20,938.77 × 7,731.32
  4. Step 4: Simplify right side
    13,968.50x = 161,884,226.58
  5. Step 5: Solve for x
    x = 161,884,226.58/13,968.50
  6. Step 6: Final answer
    x = 11,589.24

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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.