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Finding the Fourth Proportional to 21,541.68, 32,300.37 and 8,378.99

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Solution

The fourth proportional to 21,541.68, 32,300.37 and 8,378.99 is: 12,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,541.68 : 32,300.37 = 8,378.99 : x
  2. Step 2: Convert to fraction form
    21,541.68/32,300.37 = 8,378.99/x
  3. Step 3: Cross multiply
    21,541.68x = 32,300.37 × 8,378.99
  4. Step 4: Simplify right side
    21,541.68x = 270,644,315.72
  5. Step 5: Solve for x
    x = 270,644,315.72/21,541.68
  6. Step 6: Final answer
    x = 12,563.75

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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.