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Finding the Fourth Proportional to 16,274.68, 24,412.02 and 5,884

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Solution

The fourth proportional to 16,274.68, 24,412.02 and 5,884 is: 8,826

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.68 : 24,412.02 = 5,884 : x
  2. Step 2: Convert to fraction form
    16,274.68/24,412.02 = 5,884/x
  3. Step 3: Cross multiply
    16,274.68x = 24,412.02 × 5,884
  4. Step 4: Simplify right side
    16,274.68x = 143,640,325.68
  5. Step 5: Solve for x
    x = 143,640,325.68/16,274.68
  6. Step 6: Final answer
    x = 8,826

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.