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Finding the Fourth Proportional to 14,714.80, 22,042.64 and 6,806.24

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Solution

The fourth proportional to 14,714.80, 22,042.64 and 6,806.24 is: 10,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.80 : 22,042.64 = 6,806.24 : x
  2. Step 2: Convert to fraction form
    14,714.80/22,042.64 = 6,806.24/x
  3. Step 3: Cross multiply
    14,714.80x = 22,042.64 × 6,806.24
  4. Step 4: Simplify right side
    14,714.80x = 150,027,498.07
  5. Step 5: Solve for x
    x = 150,027,498.07/14,714.80
  6. Step 6: Final answer
    x = 10,195.69

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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.