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Finding the Fourth Proportional to 14,197.76, 21,297.92 and 3,809.44

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Solution

The fourth proportional to 14,197.76, 21,297.92 and 3,809.44 is: 5,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.76 : 21,297.92 = 3,809.44 : x
  2. Step 2: Convert to fraction form
    14,197.76/21,297.92 = 3,809.44/x
  3. Step 3: Cross multiply
    14,197.76x = 21,297.92 × 3,809.44
  4. Step 4: Simplify right side
    14,197.76x = 81,133,148.36
  5. Step 5: Solve for x
    x = 81,133,148.36/14,197.76
  6. Step 6: Final answer
    x = 5,714.50

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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.