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Finding the Fourth Proportional to 21,187.34, 31,784.70 and 8,714.24

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Solution

The fourth proportional to 21,187.34, 31,784.70 and 8,714.24 is: 13,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187.34 : 31,784.70 = 8,714.24 : x
  2. Step 2: Convert to fraction form
    21,187.34/31,784.70 = 8,714.24/x
  3. Step 3: Cross multiply
    21,187.34x = 31,784.70 × 8,714.24
  4. Step 4: Simplify right side
    21,187.34x = 276,979,504.13
  5. Step 5: Solve for x
    x = 276,979,504.13/21,187.34
  6. Step 6: Final answer
    x = 13,072.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.