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Finding the Fourth Proportional to 20,575.72, 30,860.41 and 6,533.91

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Solution

The fourth proportional to 20,575.72, 30,860.41 and 6,533.91 is: 9,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.72 : 30,860.41 = 6,533.91 : x
  2. Step 2: Convert to fraction form
    20,575.72/30,860.41 = 6,533.91/x
  3. Step 3: Cross multiply
    20,575.72x = 30,860.41 × 6,533.91
  4. Step 4: Simplify right side
    20,575.72x = 201,639,141.50
  5. Step 5: Solve for x
    x = 201,639,141.50/20,575.72
  6. Step 6: Final answer
    x = 9,799.86

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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.