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Finding the Fourth Proportional to 19,827.68, 29,736.56 and 8,144.16

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Solution

The fourth proportional to 19,827.68, 29,736.56 and 8,144.16 is: 12,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.68 : 29,736.56 = 8,144.16 : x
  2. Step 2: Convert to fraction form
    19,827.68/29,736.56 = 8,144.16/x
  3. Step 3: Cross multiply
    19,827.68x = 29,736.56 × 8,144.16
  4. Step 4: Simplify right side
    19,827.68x = 242,179,302.49
  5. Step 5: Solve for x
    x = 242,179,302.49/19,827.68
  6. Step 6: Final answer
    x = 12,214.20

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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.