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Finding the Fourth Proportional to 19,680.87, 29,528.36 and 8,431.49

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Solution

The fourth proportional to 19,680.87, 29,528.36 and 8,431.49 is: 12,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680.87 : 29,528.36 = 8,431.49 : x
  2. Step 2: Convert to fraction form
    19,680.87/29,528.36 = 8,431.49/x
  3. Step 3: Cross multiply
    19,680.87x = 29,528.36 × 8,431.49
  4. Step 4: Simplify right side
    19,680.87x = 248,968,072.06
  5. Step 5: Solve for x
    x = 248,968,072.06/19,680.87
  6. Step 6: Final answer
    x = 12,650.26

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Why These Related Problems?

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