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Finding the Fourth Proportional to 16,268.28, 24,402.54 and 5,880

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Solution

The fourth proportional to 16,268.28, 24,402.54 and 5,880 is: 8,820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,268.28 : 24,402.54 = 5,880 : x
  2. Step 2: Convert to fraction form
    16,268.28/24,402.54 = 5,880/x
  3. Step 3: Cross multiply
    16,268.28x = 24,402.54 × 5,880
  4. Step 4: Simplify right side
    16,268.28x = 143,486,935.20
  5. Step 5: Solve for x
    x = 143,486,935.20/16,268.28
  6. Step 6: Final answer
    x = 8,820.04

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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.