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Finding the Fourth Proportional to 15,735.32, 21,714.36 and 8,661.68

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Solution

The fourth proportional to 15,735.32, 21,714.36 and 8,661.68 is: 11,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.32 : 21,714.36 = 8,661.68 : x
  2. Step 2: Convert to fraction form
    15,735.32/21,714.36 = 8,661.68/x
  3. Step 3: Cross multiply
    15,735.32x = 21,714.36 × 8,661.68
  4. Step 4: Simplify right side
    15,735.32x = 188,082,837.72
  5. Step 5: Solve for x
    x = 188,082,837.72/15,735.32
  6. Step 6: Final answer
    x = 11,952.91

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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.