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Finding the Fourth Proportional to 20,354.86, 30,529.08 and 5,564.92

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Solution

The fourth proportional to 20,354.86, 30,529.08 and 5,564.92 is: 8,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,354.86 : 30,529.08 = 5,564.92 : x
  2. Step 2: Convert to fraction form
    20,354.86/30,529.08 = 5,564.92/x
  3. Step 3: Cross multiply
    20,354.86x = 30,529.08 × 5,564.92
  4. Step 4: Simplify right side
    20,354.86x = 169,891,887.87
  5. Step 5: Solve for x
    x = 169,891,887.87/20,354.86
  6. Step 6: Final answer
    x = 8,346.50

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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.