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Finding the Fourth Proportional to 16,448.37, 24,676.20 and 7,678.50

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Solution

The fourth proportional to 16,448.37, 24,676.20 and 7,678.50 is: 11,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.37 : 24,676.20 = 7,678.50 : x
  2. Step 2: Convert to fraction form
    16,448.37/24,676.20 = 7,678.50/x
  3. Step 3: Cross multiply
    16,448.37x = 24,676.20 × 7,678.50
  4. Step 4: Simplify right side
    16,448.37x = 189,476,201.70
  5. Step 5: Solve for x
    x = 189,476,201.70/16,448.37
  6. Step 6: Final answer
    x = 11,519.45

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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.