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Finding the Fourth Proportional to 15,735.34, 21,714.96 and 8,662.24

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Solution

The fourth proportional to 15,735.34, 21,714.96 and 8,662.24 is: 11,954.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.34 : 21,714.96 = 8,662.24 : x
  2. Step 2: Convert to fraction form
    15,735.34/21,714.96 = 8,662.24/x
  3. Step 3: Cross multiply
    15,735.34x = 21,714.96 × 8,662.24
  4. Step 4: Simplify right side
    15,735.34x = 188,100,195.11
  5. Step 5: Solve for x
    x = 188,100,195.11/15,735.34
  6. Step 6: Final answer
    x = 11,954.00

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