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Finding the Fourth Proportional to 15,735.57, 21,714.91 and 8,661.84

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Solution

The fourth proportional to 15,735.57, 21,714.91 and 8,661.84 is: 11,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.57 : 21,714.91 = 8,661.84 : x
  2. Step 2: Convert to fraction form
    15,735.57/21,714.91 = 8,661.84/x
  3. Step 3: Cross multiply
    15,735.57x = 21,714.91 × 8,661.84
  4. Step 4: Simplify right side
    15,735.57x = 188,091,076.03
  5. Step 5: Solve for x
    x = 188,091,076.03/15,735.57
  6. Step 6: Final answer
    x = 11,953.24

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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.