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Finding the Fourth Proportional to 20,263.48, 30,396.68 and 7,783.50

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Solution

The fourth proportional to 20,263.48, 30,396.68 and 7,783.50 is: 11,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,263.48 : 30,396.68 = 7,783.50 : x
  2. Step 2: Convert to fraction form
    20,263.48/30,396.68 = 7,783.50/x
  3. Step 3: Cross multiply
    20,263.48x = 30,396.68 × 7,783.50
  4. Step 4: Simplify right side
    20,263.48x = 236,592,519.86
  5. Step 5: Solve for x
    x = 236,592,519.86/20,263.48
  6. Step 6: Final answer
    x = 11,675.81

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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.