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Finding the Fourth Proportional to 15,714.13, 21,685.67 and 8,640.54

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Solution

The fourth proportional to 15,714.13, 21,685.67 and 8,640.54 is: 11,924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.13 : 21,685.67 = 8,640.54 : x
  2. Step 2: Convert to fraction form
    15,714.13/21,685.67 = 8,640.54/x
  3. Step 3: Cross multiply
    15,714.13x = 21,685.67 × 8,640.54
  4. Step 4: Simplify right side
    15,714.13x = 187,375,899.06
  5. Step 5: Solve for x
    x = 187,375,899.06/15,714.13
  6. Step 6: Final answer
    x = 11,924.04

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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.