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Finding the Fourth Proportional to 23,596.96, 35,401.61 and 8,806

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Solution

The fourth proportional to 23,596.96, 35,401.61 and 8,806 is: 13,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,596.96 : 35,401.61 = 8,806 : x
  2. Step 2: Convert to fraction form
    23,596.96/35,401.61 = 8,806/x
  3. Step 3: Cross multiply
    23,596.96x = 35,401.61 × 8,806
  4. Step 4: Simplify right side
    23,596.96x = 311,746,577.66
  5. Step 5: Solve for x
    x = 311,746,577.66/23,596.96
  6. Step 6: Final answer
    x = 13,211.30

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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.