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Finding the Fourth Proportional to 20,641.68, 30,953.22 and 5,847.09

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Solution

The fourth proportional to 20,641.68, 30,953.22 and 5,847.09 is: 8,768.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,641.68 : 30,953.22 = 5,847.09 : x
  2. Step 2: Convert to fraction form
    20,641.68/30,953.22 = 5,847.09/x
  3. Step 3: Cross multiply
    20,641.68x = 30,953.22 × 5,847.09
  4. Step 4: Simplify right side
    20,641.68x = 180,986,263.13
  5. Step 5: Solve for x
    x = 180,986,263.13/20,641.68
  6. Step 6: Final answer
    x = 8,768.00

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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.