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Finding the Fourth Proportional to 20,573.21, 30,836.48 and 9,456.93

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Solution

The fourth proportional to 20,573.21, 30,836.48 and 9,456.93 is: 14,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,573.21 : 30,836.48 = 9,456.93 : x
  2. Step 2: Convert to fraction form
    20,573.21/30,836.48 = 9,456.93/x
  3. Step 3: Cross multiply
    20,573.21x = 30,836.48 × 9,456.93
  4. Step 4: Simplify right side
    20,573.21x = 291,618,385.52
  5. Step 5: Solve for x
    x = 291,618,385.52/20,573.21
  6. Step 6: Final answer
    x = 14,174.67

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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.