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Finding the Fourth Proportional to 20,228.86, 30,354.18 and 19,492.48

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Solution

The fourth proportional to 20,228.86, 30,354.18 and 19,492.48 is: 29,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,228.86 : 30,354.18 = 19,492.48 : x
  2. Step 2: Convert to fraction form
    20,228.86/30,354.18 = 19,492.48/x
  3. Step 3: Cross multiply
    20,228.86x = 30,354.18 × 19,492.48
  4. Step 4: Simplify right side
    20,228.86x = 591,678,246.57
  5. Step 5: Solve for x
    x = 591,678,246.57/20,228.86
  6. Step 6: Final answer
    x = 29,249.21

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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.