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Finding the Fourth Proportional to 20,714.50, 31,075.81 and 8,232.20

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Solution

The fourth proportional to 20,714.50, 31,075.81 and 8,232.20 is: 12,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.50 : 31,075.81 = 8,232.20 : x
  2. Step 2: Convert to fraction form
    20,714.50/31,075.81 = 8,232.20/x
  3. Step 3: Cross multiply
    20,714.50x = 31,075.81 × 8,232.20
  4. Step 4: Simplify right side
    20,714.50x = 255,822,127.70
  5. Step 5: Solve for x
    x = 255,822,127.70/20,714.50
  6. Step 6: Final answer
    x = 12,349.91

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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.