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Finding the Fourth Proportional to 21,647.10, 32,451.06 and 8,495.94

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Solution

The fourth proportional to 21,647.10, 32,451.06 and 8,495.94 is: 12,736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647.10 : 32,451.06 = 8,495.94 : x
  2. Step 2: Convert to fraction form
    21,647.10/32,451.06 = 8,495.94/x
  3. Step 3: Cross multiply
    21,647.10x = 32,451.06 × 8,495.94
  4. Step 4: Simplify right side
    21,647.10x = 275,702,258.70
  5. Step 5: Solve for x
    x = 275,702,258.70/21,647.10
  6. Step 6: Final answer
    x = 12,736.22

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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.