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Finding the Fourth Proportional to 21,847.50, 32,768.46 and 7,054.88

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Solution

The fourth proportional to 21,847.50, 32,768.46 and 7,054.88 is: 10,581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847.50 : 32,768.46 = 7,054.88 : x
  2. Step 2: Convert to fraction form
    21,847.50/32,768.46 = 7,054.88/x
  3. Step 3: Cross multiply
    21,847.50x = 32,768.46 × 7,054.88
  4. Step 4: Simplify right side
    21,847.50x = 231,177,389.24
  5. Step 5: Solve for x
    x = 231,177,389.24/21,847.50
  6. Step 6: Final answer
    x = 10,581.41

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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.