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Finding the Fourth Proportional to 20,279.10, 30,411.27 and 7,792.68

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Solution

The fourth proportional to 20,279.10, 30,411.27 and 7,792.68 is: 11,686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,279.10 : 30,411.27 = 7,792.68 : x
  2. Step 2: Convert to fraction form
    20,279.10/30,411.27 = 7,792.68/x
  3. Step 3: Cross multiply
    20,279.10x = 30,411.27 × 7,792.68
  4. Step 4: Simplify right side
    20,279.10x = 236,985,295.50
  5. Step 5: Solve for x
    x = 236,985,295.50/20,279.10
  6. Step 6: Final answer
    x = 11,686.18

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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.