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Finding the Fourth Proportional to 16,392, 24,588.15 and 5,862.54

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Solution

The fourth proportional to 16,392, 24,588.15 and 5,862.54 is: 8,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,392 : 24,588.15 = 5,862.54 : x
  2. Step 2: Convert to fraction form
    16,392/24,588.15 = 5,862.54/x
  3. Step 3: Cross multiply
    16,392x = 24,588.15 × 5,862.54
  4. Step 4: Simplify right side
    16,392x = 144,149,012.90
  5. Step 5: Solve for x
    x = 144,149,012.90/16,392
  6. Step 6: Final answer
    x = 8,793.86

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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.