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Finding the Fourth Proportional to 19,784.12, 27,302.09 and 10,832.20

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Solution

The fourth proportional to 19,784.12, 27,302.09 and 10,832.20 is: 14,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.12 : 27,302.09 = 10,832.20 : x
  2. Step 2: Convert to fraction form
    19,784.12/27,302.09 = 10,832.20/x
  3. Step 3: Cross multiply
    19,784.12x = 27,302.09 × 10,832.20
  4. Step 4: Simplify right side
    19,784.12x = 295,741,576.88
  5. Step 5: Solve for x
    x = 295,741,576.88/19,784.12
  6. Step 6: Final answer
    x = 14,948.44

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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.