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Finding the Fourth Proportional to 12,832.49, 19,252.76 and 4,512.71

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Solution

The fourth proportional to 12,832.49, 19,252.76 and 4,512.71 is: 6,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.49 : 19,252.76 = 4,512.71 : x
  2. Step 2: Convert to fraction form
    12,832.49/19,252.76 = 4,512.71/x
  3. Step 3: Cross multiply
    12,832.49x = 19,252.76 × 4,512.71
  4. Step 4: Simplify right side
    12,832.49x = 86,882,003.75
  5. Step 5: Solve for x
    x = 86,882,003.75/12,832.49
  6. Step 6: Final answer
    x = 6,770.47

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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.