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Finding the Fourth Proportional to 20,832.70, 31,242.85 and 11,343.50

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Solution

The fourth proportional to 20,832.70, 31,242.85 and 11,343.50 is: 17,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,832.70 : 31,242.85 = 11,343.50 : x
  2. Step 2: Convert to fraction form
    20,832.70/31,242.85 = 11,343.50/x
  3. Step 3: Cross multiply
    20,832.70x = 31,242.85 × 11,343.50
  4. Step 4: Simplify right side
    20,832.70x = 354,403,268.98
  5. Step 5: Solve for x
    x = 354,403,268.98/20,832.70
  6. Step 6: Final answer
    x = 17,011.87

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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.