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Finding the Fourth Proportional to 16,505.94, 24,760.65 and 4,819.20

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Solution

The fourth proportional to 16,505.94, 24,760.65 and 4,819.20 is: 7,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.94 : 24,760.65 = 4,819.20 : x
  2. Step 2: Convert to fraction form
    16,505.94/24,760.65 = 4,819.20/x
  3. Step 3: Cross multiply
    16,505.94x = 24,760.65 × 4,819.20
  4. Step 4: Simplify right side
    16,505.94x = 119,326,524.48
  5. Step 5: Solve for x
    x = 119,326,524.48/16,505.94
  6. Step 6: Final answer
    x = 7,229.31

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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.