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Finding the Fourth Proportional to 20,168.92, 30,256.26 and 6,319

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Solution

The fourth proportional to 20,168.92, 30,256.26 and 6,319 is: 9,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168.92 : 30,256.26 = 6,319 : x
  2. Step 2: Convert to fraction form
    20,168.92/30,256.26 = 6,319/x
  3. Step 3: Cross multiply
    20,168.92x = 30,256.26 × 6,319
  4. Step 4: Simplify right side
    20,168.92x = 191,189,306.94
  5. Step 5: Solve for x
    x = 191,189,306.94/20,168.92
  6. Step 6: Final answer
    x = 9,479.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.