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Finding the Fourth Proportional to 16,298.57, 24,449.90 and 5,766.46

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Solution

The fourth proportional to 16,298.57, 24,449.90 and 5,766.46 is: 8,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.57 : 24,449.90 = 5,766.46 : x
  2. Step 2: Convert to fraction form
    16,298.57/24,449.90 = 5,766.46/x
  3. Step 3: Cross multiply
    16,298.57x = 24,449.90 × 5,766.46
  4. Step 4: Simplify right side
    16,298.57x = 140,989,280.40
  5. Step 5: Solve for x
    x = 140,989,280.40/16,298.57
  6. Step 6: Final answer
    x = 8,650.41

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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.