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Finding the Fourth Proportional to 12,971.85, 17,902.50 and 7,939.42

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Solution

The fourth proportional to 12,971.85, 17,902.50 and 7,939.42 is: 10,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.85 : 17,902.50 = 7,939.42 : x
  2. Step 2: Convert to fraction form
    12,971.85/17,902.50 = 7,939.42/x
  3. Step 3: Cross multiply
    12,971.85x = 17,902.50 × 7,939.42
  4. Step 4: Simplify right side
    12,971.85x = 142,135,392.02
  5. Step 5: Solve for x
    x = 142,135,392.02/12,971.85
  6. Step 6: Final answer
    x = 10,957.22

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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.