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Finding the Fourth Proportional to 20,298, 30,450.84 and 9,354

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Solution

The fourth proportional to 20,298, 30,450.84 and 9,354 is: 14,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298 : 30,450.84 = 9,354 : x
  2. Step 2: Convert to fraction form
    20,298/30,450.84 = 9,354/x
  3. Step 3: Cross multiply
    20,298x = 30,450.84 × 9,354
  4. Step 4: Simplify right side
    20,298x = 284,837,157.36
  5. Step 5: Solve for x
    x = 284,837,157.36/20,298
  6. Step 6: Final answer
    x = 14,032.77

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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.