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Finding the Fourth Proportional to 15,735.38, 21,714.84 and 8,662.05

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Solution

The fourth proportional to 15,735.38, 21,714.84 and 8,662.05 is: 11,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.38 : 21,714.84 = 8,662.05 : x
  2. Step 2: Convert to fraction form
    15,735.38/21,714.84 = 8,662.05/x
  3. Step 3: Cross multiply
    15,735.38x = 21,714.84 × 8,662.05
  4. Step 4: Simplify right side
    15,735.38x = 188,095,029.82
  5. Step 5: Solve for x
    x = 188,095,029.82/15,735.38
  6. Step 6: Final answer
    x = 11,953.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.