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Finding the Fourth Proportional to 21,873.89, 32,811.57 and 7,834.86

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Solution

The fourth proportional to 21,873.89, 32,811.57 and 7,834.86 is: 11,752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.89 : 32,811.57 = 7,834.86 : x
  2. Step 2: Convert to fraction form
    21,873.89/32,811.57 = 7,834.86/x
  3. Step 3: Cross multiply
    21,873.89x = 32,811.57 × 7,834.86
  4. Step 4: Simplify right side
    21,873.89x = 257,074,057.33
  5. Step 5: Solve for x
    x = 257,074,057.33/21,873.89
  6. Step 6: Final answer
    x = 11,752.56

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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.