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Finding the Fourth Proportional to 20,832.32, 31,250.56 and 7,683

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Solution

The fourth proportional to 20,832.32, 31,250.56 and 7,683 is: 11,525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,832.32 : 31,250.56 = 7,683 : x
  2. Step 2: Convert to fraction form
    20,832.32/31,250.56 = 7,683/x
  3. Step 3: Cross multiply
    20,832.32x = 31,250.56 × 7,683
  4. Step 4: Simplify right side
    20,832.32x = 240,098,052.48
  5. Step 5: Solve for x
    x = 240,098,052.48/20,832.32
  6. Step 6: Final answer
    x = 11,525.27

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