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Finding the Fourth Proportional to 16,509.89, 24,753.89 and 5,412.69

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Solution

The fourth proportional to 16,509.89, 24,753.89 and 5,412.69 is: 8,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.89 : 24,753.89 = 5,412.69 : x
  2. Step 2: Convert to fraction form
    16,509.89/24,753.89 = 5,412.69/x
  3. Step 3: Cross multiply
    16,509.89x = 24,753.89 × 5,412.69
  4. Step 4: Simplify right side
    16,509.89x = 133,985,105.80
  5. Step 5: Solve for x
    x = 133,985,105.80/16,509.89
  6. Step 6: Final answer
    x = 8,115.45

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1.5x scale

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.